Least Common Multiple of 896, 5628, 840

Q: How to Find the LCM of 896, 5628, 840 ?

Least Common Multiple of 896, 5628, 840 = 900480 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(896, 5628, 840) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 67 = 900480.

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 896, 5628, 840 i.e. 900480 smallest integer divisible by all numbers.

Least common multiple (LCM) of 896, 5628, 840 is 900480.

LCM(896, 5628, 840) = 900480

LCM of 896, 5628, 840

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

Least Common Multiple of 896, 5628, 840 by common division method
Least Common Multiple of 896, 5628, 840 with GCF Formula

Least Common Multiple of 896,5628,840

Least Common Multiple (LCM) of 896,5628,840 is 900480

2	896, 5628, 840
2	448, 2814, 420
2	224, 1407, 210
3	112, 1407, 105
7	112, 469, 35
	16, 67, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 16 x 67 x 5 = 900480

Least Common Multiple of 896,5628,840 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 896,5628,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,5628,840) = 28

common factors(in case of two or more numbers have common factors) = 168

GCF(896,5628,840) x common factors =28 x 168 = 4704

LCM(896,5628,840) = ( 896 × 5628 × 840 ) / 4704

LCM(896,5628,840) = 4235857920 / 4704

LCM(896,5628,840) = 900480

∴ Least Common Multiple of 896,5628,840 is 900480

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 896, 5628, 840

1. What is the LCM of 896, 5628, 840?

Answer: LCM of 896, 5628, 840 is 900480.

2. What are the Factors of 900480?

Answer: Factors of 900480 are . There are integers that are factors of 900480

3. How to Find the LCM of 896, 5628, 840 ?

Least Common Multiple of 896, 5628, 840.

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(896, 5628, 840) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 67 = 900480.