Least Common Multiple of 392, 125, 114, 900, 476

Q: How to Find the LCM of 392, 125, 114, 900, 476 ?

Least Common Multiple of 392, 125, 114, 900, 476 = 142443000 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(392, 125, 114, 900, 476) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 7 x 7 x 17 x 19 = 142443000.

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 392, 125, 114, 900, 476 i.e. 142443000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 392, 125, 114, 900, 476 is 142443000.

LCM(392, 125, 114, 900, 476) = 142443000

LCM of 392, 125, 114, 900, 476

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

Least Common Multiple of 392, 125, 114, 900, 476 by common division method
Least Common Multiple of 392, 125, 114, 900, 476 with GCF Formula

Least Common Multiple of 392,125,114,900,476

Least Common Multiple (LCM) of 392,125,114,900,476 is 142443000

2	392, 125, 114, 900, 476
2	196, 125, 57, 450, 238
3	98, 125, 57, 225, 119
5	98, 125, 19, 75, 119
5	98, 25, 19, 15, 119
7	98, 5, 19, 3, 119
	14, 5, 19, 3, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 5 x 7 x 14 x 5 x 19 x 3 x 17 = 142443000

Least Common Multiple of 392,125,114,900,476 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 392,125,114,900,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,125,114,900,476) = 1

common factors(in case of two or more numbers have common factors) = 16800

GCF(392,125,114,900,476) x common factors =1 x 16800 = 16800

LCM(392,125,114,900,476) = ( 392 × 125 × 114 × 900 × 476 ) / 16800

LCM(392,125,114,900,476) = 2393042400000 / 16800

LCM(392,125,114,900,476) = 142443000

∴ Least Common Multiple of 392,125,114,900,476 is 142443000

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 392, 125, 114, 900, 476

1. What is the LCM of 392, 125, 114, 900, 476?

Answer: LCM of 392, 125, 114, 900, 476 is 142443000.

2. What are the Factors of 142443000?

Answer: Factors of 142443000 are . There are integers that are factors of 142443000

3. How to Find the LCM of 392, 125, 114, 900, 476 ?

Least Common Multiple of 392, 125, 114, 900, 476.

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(392, 125, 114, 900, 476) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 7 x 7 x 17 x 19 = 142443000.