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how do you find the least common multiple of these two expressions. 10x^5v^8 and 25x^4v^7u^2

Sagot :

Soham
[tex] 10x^{5} v^{8}= 1*2*5*x*x*x*x*x*v*v*v*v*v*v*v*v \\ 25 x^{4} v^{7} u^{2}=1*5*5*x*x*x*x*v*v*v*v*v*v*v*u*u \\ [/tex]
Underline all the numbers which are common in both the factorisations. Write them down:
[tex]5 x^{4} v^{7} [/tex]
There, you have your LCM of both the expressions.
[tex]10x^5v^8=5x^4v^7\cdot2xv\\\\25x^4v^7u^2=5x^4v^7\cdot5u^2\\\\LCM(10x^5v^8;\ 25x^4v^7u^2)=5x^4v^7\cdot2xv\cdot5u^2=50x^5v^8u^2[/tex]
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