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grandymaker [24]
2 years ago
9

Find the least common multiple of these two expressions. 10v^6y^7 and 6w^4v^5y^3

Mathematics
1 answer:
egoroff_w [7]2 years ago
4 0

10v⁶y⁷    = <u>2</u> * 5 * <u>vvvvv</u>v * <u>yyy</u>yyyy      

6w⁴v⁵y³ = <u>2</u> * 3 * wwww * <u>vvvvv</u> * <u>yyy</u>

GCF: 2v⁴y³

<em>The LCM is the GCF and everything leftover</em>

LCM: 2v⁴y³ * (5 * v * yyyy) * (3 * wwww)

       = (2 * 5 * 3) * (v⁴ * v) * (w⁴) * (y³ * y⁴)

       =        30           v⁵        w⁴        y⁷

Answer: LCM =  30v⁵w⁴y⁷

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