Least Common Multiple of 984, 208, 960, 448

Q: How to Find the LCM of 984, 208, 960, 448 ?

Least Common Multiple of 984, 208, 960, 448 = 3581760 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(984, 208, 960, 448) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 x 41 = 3581760.

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 984, 208, 960, 448 i.e. 3581760 smallest integer divisible by all numbers.

Least common multiple (LCM) of 984, 208, 960, 448 is 3581760.

LCM(984, 208, 960, 448) = 3581760

LCM of 984, 208, 960, 448

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

Least Common Multiple of 984, 208, 960, 448 by common division method
Least Common Multiple of 984, 208, 960, 448 with GCF Formula

Least Common Multiple of 984,208,960,448

Least Common Multiple (LCM) of 984,208,960,448 is 3581760

2	984, 208, 960, 448
2	492, 104, 480, 224
2	246, 52, 240, 112
2	123, 26, 120, 56
2	123, 13, 60, 28
2	123, 13, 30, 14
3	123, 13, 15, 7
	41, 13, 5, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 41 x 13 x 5 x 7 = 3581760

Least Common Multiple of 984,208,960,448 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 984,208,960,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,208,960,448) = 8

common factors(in case of two or more numbers have common factors) = 3072

GCF(984,208,960,448) x common factors =8 x 3072 = 24576

LCM(984,208,960,448) = ( 984 × 208 × 960 × 448 ) / 24576

LCM(984,208,960,448) = 88025333760 / 24576

LCM(984,208,960,448) = 3581760

∴ Least Common Multiple of 984,208,960,448 is 3581760

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 984, 208, 960, 448

1. What is the LCM of 984, 208, 960, 448?

Answer: LCM of 984, 208, 960, 448 is 3581760.

2. What are the Factors of 3581760?

Answer: Factors of 3581760 are . There are integers that are factors of 3581760

3. How to Find the LCM of 984, 208, 960, 448 ?

Least Common Multiple of 984, 208, 960, 448.

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(984, 208, 960, 448) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 x 41 = 3581760.