Least Common Multiple of 130, 456, 192, 789

Q: How to Find the LCM of 130, 456, 192, 789 ?

Least Common Multiple of 130, 456, 192, 789 = 62362560 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(130, 456, 192, 789) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 19 x 263 = 62362560.

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 130, 456, 192, 789 i.e. 62362560 smallest integer divisible by all numbers.

Least common multiple (LCM) of 130, 456, 192, 789 is 62362560.

LCM(130, 456, 192, 789) = 62362560

LCM of 130, 456, 192, 789

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

Least Common Multiple of 130, 456, 192, 789 by common division method
Least Common Multiple of 130, 456, 192, 789 with GCF Formula

Least Common Multiple of 130,456,192,789

Least Common Multiple (LCM) of 130,456,192,789 is 62362560

2	130, 456, 192, 789
2	65, 228, 96, 789
2	65, 114, 48, 789
3	65, 57, 24, 789
	65, 19, 8, 263

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 65 x 19 x 8 x 263 = 62362560

Least Common Multiple of 130,456,192,789 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 130,456,192,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,456,192,789) = 1

common factors(in case of two or more numbers have common factors) = 144

GCF(130,456,192,789) x common factors =1 x 144 = 144

LCM(130,456,192,789) = ( 130 × 456 × 192 × 789 ) / 144

LCM(130,456,192,789) = 8980208640 / 144

LCM(130,456,192,789) = 62362560

∴ Least Common Multiple of 130,456,192,789 is 62362560

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 130, 456, 192, 789

1. What is the LCM of 130, 456, 192, 789?

Answer: LCM of 130, 456, 192, 789 is 62362560.

2. What are the Factors of 62362560?

Answer: Factors of 62362560 are . There are integers that are factors of 62362560

3. How to Find the LCM of 130, 456, 192, 789 ?

Least Common Multiple of 130, 456, 192, 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(130, 456, 192, 789) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 19 x 263 = 62362560.