Least Common Multiple of 380, 456, 207, 784

Q: How to Find the LCM of 380, 456, 207, 784 ?

Least Common Multiple of 380, 456, 207, 784 = 15417360 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(380, 456, 207, 784) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 7 x 19 x 23 = 15417360.

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 380, 456, 207, 784 i.e. 15417360 smallest integer divisible by all numbers.

Least common multiple (LCM) of 380, 456, 207, 784 is 15417360.

LCM(380, 456, 207, 784) = 15417360

LCM of 380, 456, 207, 784

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

Least Common Multiple of 380, 456, 207, 784 by common division method
Least Common Multiple of 380, 456, 207, 784 with GCF Formula

Least Common Multiple of 380,456,207,784

Least Common Multiple (LCM) of 380,456,207,784 is 15417360

2	380, 456, 207, 784
2	190, 228, 207, 392
2	95, 114, 207, 196
3	95, 57, 207, 98
19	95, 19, 69, 98
	5, 1, 69, 98

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 19 x 5 x 1 x 69 x 98 = 15417360

Least Common Multiple of 380,456,207,784 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 380,456,207,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,456,207,784) = 1

common factors(in case of two or more numbers have common factors) = 1824

GCF(380,456,207,784) x common factors =1 x 1824 = 1824

LCM(380,456,207,784) = ( 380 × 456 × 207 × 784 ) / 1824

LCM(380,456,207,784) = 28121264640 / 1824

LCM(380,456,207,784) = 15417360

∴ Least Common Multiple of 380,456,207,784 is 15417360

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 380, 456, 207, 784

1. What is the LCM of 380, 456, 207, 784?

Answer: LCM of 380, 456, 207, 784 is 15417360.

2. What are the Factors of 15417360?

Answer: Factors of 15417360 are . There are integers that are factors of 15417360

3. How to Find the LCM of 380, 456, 207, 784 ?

Least Common Multiple of 380, 456, 207, 784.

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(380, 456, 207, 784) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 7 x 19 x 23 = 15417360.