Least Common Multiple of 142, 741, 696, 374, 384

Q: How to Find the LCM of 142, 741, 696, 374, 384 ?

Least Common Multiple of 142, 741, 696, 374, 384 = 36519609984 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(142, 741, 696, 374, 384) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 13 x 17 x 19 x 29 x 71 = 36519609984.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 142, 741, 696, 374, 384 i.e. 36519609984 smallest integer divisible by all numbers.

Least common multiple (LCM) of 142, 741, 696, 374, 384 is 36519609984.

LCM(142, 741, 696, 374, 384) = 36519609984

LCM of 142, 741, 696, 374, 384

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

Least Common Multiple of 142, 741, 696, 374, 384 by common division method
Least Common Multiple of 142, 741, 696, 374, 384 with GCF Formula

Least Common Multiple of 142,741,696,374,384

Least Common Multiple (LCM) of 142,741,696,374,384 is 36519609984

2	142, 741, 696, 374, 384
2	71, 741, 348, 187, 192
2	71, 741, 174, 187, 96
3	71, 741, 87, 187, 48
	71, 247, 29, 187, 16

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 71 x 247 x 29 x 187 x 16 = 36519609984

Least Common Multiple of 142,741,696,374,384 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 142,741,696,374,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,741,696,374,384) = 1

common factors(in case of two or more numbers have common factors) = 288

GCF(142,741,696,374,384) x common factors =1 x 288 = 288

LCM(142,741,696,374,384) = ( 142 × 741 × 696 × 374 × 384 ) / 288

LCM(142,741,696,374,384) = 10517647675392 / 288

LCM(142,741,696,374,384) = 36519609984

∴ Least Common Multiple of 142,741,696,374,384 is 36519609984

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 142, 741, 696, 374, 384

1. What is the LCM of 142, 741, 696, 374, 384?

Answer: LCM of 142, 741, 696, 374, 384 is 36519609984.

2. What are the Factors of 36519609984?

Answer: Factors of 36519609984 are . There are integers that are factors of 36519609984

3. How to Find the LCM of 142, 741, 696, 374, 384 ?

Least Common Multiple of 142, 741, 696, 374, 384.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(142, 741, 696, 374, 384) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 13 x 17 x 19 x 29 x 71 = 36519609984.