Lapayese began his artistic studies with his father. He continued by learning sculpture with private teachers and teaching himself to paint. At age fourteen he completed his first professional sculpture.
From 1942 to 1949 he audited classes at the school of Arts and Trades and the school of Fine Arts in Barcelona. He also studied music theory and violin at the Ainaud academy. Upon returning to Madrid, he went to the Círculo de Bellas Artes to draw. He began to work in ceramics, continued to study violin, harmony and composition, and also completed important works of sculpture. At the same time he continued to study painting in depth.
In 1954 he was awarded a grant from the Italian government to study in the Spanish Academy in Rome. In 1957 he went to France with a grant from this government, residing in the French capital for six years.
In Paris he completely developed his vocation as a painter, and also continued with sculptures and the study of printing, engraving, etc., in the school of Fine Arts.
From 1963 to 1984 he lived in Madrid, carrying out his work, commissions and exhibitions of painting, sculpture and engravings.
In 1984 he moved to Miami where he lived until 1993, year in which he returned to Spain. In these years he painted portraits, completed nine large pictorial murals in the state of Florida, carried out exhibitions, and at the same time worked as a professor at the University of Miami (Koubek Center), the University of Saint Thomas, and at Florida Memorial College. During his trips to Spain he worked on commissioned jobs and exhibitions.
In 1994 he returned to Miami to complete some commissioned work. He died in this city.