Least Common Multiple of 144, 214, 546, 644, 749

Q: How to Find the LCM of 144, 214, 546, 644, 749 ?

Least Common Multiple of 144, 214, 546, 644, 749 = 32248944 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(144, 214, 546, 644, 749) = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 13 x 23 x 107 = 32248944.

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 144, 214, 546, 644, 749 i.e. 32248944 smallest integer divisible by all numbers.

Least common multiple (LCM) of 144, 214, 546, 644, 749 is 32248944.

LCM(144, 214, 546, 644, 749) = 32248944

LCM of 144, 214, 546, 644, 749

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

Least Common Multiple of 144, 214, 546, 644, 749 by common division method
Least Common Multiple of 144, 214, 546, 644, 749 with GCF Formula

Least Common Multiple of 144,214,546,644,749

Least Common Multiple (LCM) of 144,214,546,644,749 is 32248944

2	144, 214, 546, 644, 749
2	72, 107, 273, 322, 749
3	36, 107, 273, 161, 749
7	12, 107, 91, 161, 749
107	12, 107, 13, 23, 107
	12, 1, 13, 23, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 107 x 12 x 1 x 13 x 23 x 1 = 32248944

Least Common Multiple of 144,214,546,644,749 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 144,214,546,644,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,214,546,644,749) = 1

common factors(in case of two or more numbers have common factors) = 251664

GCF(144,214,546,644,749) x common factors =1 x 251664 = 251664

LCM(144,214,546,644,749) = ( 144 × 214 × 546 × 644 × 749 ) / 251664

LCM(144,214,546,644,749) = 8115898242816 / 251664

LCM(144,214,546,644,749) = 32248944

∴ Least Common Multiple of 144,214,546,644,749 is 32248944

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 144, 214, 546, 644, 749

1. What is the LCM of 144, 214, 546, 644, 749?

Answer: LCM of 144, 214, 546, 644, 749 is 32248944.

2. What are the Factors of 32248944?

Answer: Factors of 32248944 are . There are integers that are factors of 32248944

3. How to Find the LCM of 144, 214, 546, 644, 749 ?

Least Common Multiple of 144, 214, 546, 644, 749.

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(144, 214, 546, 644, 749) = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 13 x 23 x 107 = 32248944.