Victor B. answered • 01/05/22
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PhD candidate in Mathematics with 10+ years of teaching experience
To compute the GCF, first, calculate the GCF of the coefficients which is 2. Then, for every common variable, take the minimum of the exponents. So, for x it is 2 and for y it is 5.
Therefore, GCF(12x3y5, 2x2y7) = 2x2y5.
As for the LCM, the coefficient should be the LCM of the coefficients, which in this case is 12. The exponents now should be the maximum of the two. So, for x it is 3 and for y it is 7.
Therefore, LCM(12x3y5, 2x2y7) = 12x3y7
Nathan W.
LCM (6x^2 y^3, 10x^3 3y) is the product of LCM of the coefficients and each variable with the highest exponent present...So we have LCM (6,10) = 30 multiplied by x^3 and y^3, which gives us 30x^3 y^3.01/05/22