How do you find the LCM of #4y ^ { 3} u ^ { 8} x ^ { 2}# and #10u ^ { 4} x^6#?

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Answer 1 · 2017-06-08T12:54:18

#4y^3u^8x^2 and 10u^4x^6#

#LCM = 10u^8x^6y^3#

For the numbers, write them as the product of their prime factors:

#" "4 = 2xx2#
#" "10 = ul(2" "xx5)#
#LCM" " = 2xx2xx5 = 20#

Or else:

Work through the multiples of #10# until you find a multiple of #4#

#10" ",color(red)(20)#

For the variables: Use the highest power if each variable:

#4color(red)(y^3u^8)x^2 and 10u^4color(red)(x^6)#

#LCM = 10u^8x^6y^3#