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Find the LCM of 34x⁴y³z, 48xyz⁵ and 16x⁴z³​

User Emomaliev
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1 Answer

11 votes
11 votes

Answer: LCM = 6528x⁷y⁴z⁶

Step-by-step explanation:

34x⁴y³z = 2 × 17 • x • x • x • x • y • y • y • z

48xyz⁵ = 2 × 2 × 2 × 2 × 3 • x • y • z • z • z • z • z

16x⁴z³ = 2 × 2 × 2 × 2 • x • x • x • x • z • z • z

Common Factor(C.F)

= 2 • x • z

Uncommon Factor(UnCF)

= 2 × 2 × 2 × 2 × 2 × 2 × 3 × 17 • x • x • x • x • x • x • y • y • y • y • z • z • z • z • z • z

LCM = C.F × UnCF

LCM = (2 • x • z) × (2 × 2 × 2 × 2 × 2 × 2 × 3 × 17 • x • x • x • x • x • x • y • y • y • y • z • z • z • z • z • z)

LCM = 6528x⁷y⁴z⁶ Answer

Note: I have used the dot (•) instead of multiplication sign (×).

Hope that helps...

User Ivan Nevostruev
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