Question

(EASY AND U CAN BE MARKED BRAINLIEST) could you please answer this fast and quick and correct and i will mark you brainliest

Answer 1

Working out:

Here, we are asked to find the Lowest Common multiple (LCM) of two numbers whose prime factorisation is given.

GiveN,

• x = 5³ × 7³ × 11⁵ × 13⁴
• y = 5⁵ × 11⁵ × 13

The lowest common multiple is the least number that is exactly divisible by each one of the given numbers. We know that, every composite number can be expressed in index forms of its prime factors.

For finding LCM,

• Product of highest powers of all factors$.$

So,

The prime factors involved in these two numbers are 5, 7, 11 and 13. And, the highest power of these prime factors is:

• 5 ➝ 5⁵ (Highest power)
• 7 ➝ 7³ (Highest power)
• 11 ➝ 11⁵ (Highest power)
• 13 ➝ 13⁴ (Highest power)

► LCM = 5⁵ × 7³ × 11⁵ × 13⁴ (Answer)

As, it is asked to leave the LCM in index form, and no need to find the exact value. The final answer is hence, done !!

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