Least Common Multiple of 920, 171, 400, 506, 789

Q: How to Find the LCM of 920, 171, 400, 506, 789 ?

Least Common Multiple of 920, 171, 400, 506, 789 = 4551267600 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(920, 171, 400, 506, 789) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 11 x 19 x 23 x 263 = 4551267600.

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 920, 171, 400, 506, 789 i.e. 4551267600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 920, 171, 400, 506, 789 is 4551267600.

LCM(920, 171, 400, 506, 789) = 4551267600

LCM of 920, 171, 400, 506, 789

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

Least Common Multiple of 920, 171, 400, 506, 789 by common division method
Least Common Multiple of 920, 171, 400, 506, 789 with GCF Formula

Least Common Multiple of 920,171,400,506,789

Least Common Multiple (LCM) of 920,171,400,506,789 is 4551267600

2	920, 171, 400, 506, 789
2	460, 171, 200, 253, 789
2	230, 171, 100, 253, 789
3	115, 171, 50, 253, 789
5	115, 57, 50, 253, 263
23	23, 57, 10, 253, 263
	1, 57, 10, 11, 263

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 23 x 1 x 57 x 10 x 11 x 263 = 4551267600

Least Common Multiple of 920,171,400,506,789 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 920,171,400,506,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,171,400,506,789) = 1

common factors(in case of two or more numbers have common factors) = 5520

GCF(920,171,400,506,789) x common factors =1 x 5520 = 5520

LCM(920,171,400,506,789) = ( 920 × 171 × 400 × 506 × 789 ) / 5520

LCM(920,171,400,506,789) = 25122997152000 / 5520

LCM(920,171,400,506,789) = 4551267600

∴ Least Common Multiple of 920,171,400,506,789 is 4551267600

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 920, 171, 400, 506, 789

1. What is the LCM of 920, 171, 400, 506, 789?

Answer: LCM of 920, 171, 400, 506, 789 is 4551267600.

2. What are the Factors of 4551267600?

Answer: Factors of 4551267600 are . There are integers that are factors of 4551267600

3. How to Find the LCM of 920, 171, 400, 506, 789 ?

Least Common Multiple of 920, 171, 400, 506, 789.

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(920, 171, 400, 506, 789) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 11 x 19 x 23 x 263 = 4551267600.