Least Common Multiple of 76, 96, 33, 649

Q: How to Find the LCM of 76, 96, 33, 649 ?

Least Common Multiple of 76, 96, 33, 649 = 1183776 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(76, 96, 33, 649) = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 19 x 59 = 1183776.

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 76, 96, 33, 649 i.e. 1183776 smallest integer divisible by all numbers.

Least common multiple (LCM) of 76, 96, 33, 649 is 1183776.

LCM(76, 96, 33, 649) = 1183776

LCM of 76, 96, 33, 649

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

Least Common Multiple of 76, 96, 33, 649 by common division method
Least Common Multiple of 76, 96, 33, 649 with GCF Formula

Least Common Multiple of 76,96,33,649

Least Common Multiple (LCM) of 76,96,33,649 is 1183776

2	76, 96, 33, 649
2	38, 48, 33, 649
3	19, 24, 33, 649
11	19, 8, 11, 649
	19, 8, 1, 59

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 19 x 8 x 1 x 59 = 1183776

Least Common Multiple of 76,96,33,649 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 76,96,33,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,96,33,649) = 1

common factors(in case of two or more numbers have common factors) = 132

GCF(76,96,33,649) x common factors =1 x 132 = 132

LCM(76,96,33,649) = ( 76 × 96 × 33 × 649 ) / 132

LCM(76,96,33,649) = 156258432 / 132

LCM(76,96,33,649) = 1183776

∴ Least Common Multiple of 76,96,33,649 is 1183776

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 76, 96, 33, 649

1. What is the LCM of 76, 96, 33, 649?

Answer: LCM of 76, 96, 33, 649 is 1183776.

2. What are the Factors of 1183776?

Answer: Factors of 1183776 are . There are integers that are factors of 1183776

3. How to Find the LCM of 76, 96, 33, 649 ?

Least Common Multiple of 76, 96, 33, 649.

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(76, 96, 33, 649) = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 19 x 59 = 1183776.