Least Common Multiple of 49/744, 167/237, 321/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/744, 167/237, 321/525 quickly i.e. 875581 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/744, 167/237, 321/525 is 875581.

LCM(49/744, 167/237, 321/525) = 875581

LCM of 49/744, 167/237, 321/525

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 49/744,167/237,321/525

Given numbers are 49/744,167/237,321/525

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 49,167,321

Least Common Multiple of Numerators i.e. LCM of 49,167,321 is 2626743.

GCF of Denominators means GCF of 744,237,525 as per the given fractions.

GCF of 744,237,525 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,167,321

LCM of Fractions 49/744,167/237,321/525 is 875581

Given numbers has no common factors except 1. So, there LCM is their product i.e 2626743

Least Common Multiple of 49,167,321 with GCF Formula

Least Common Multiple of 49,167,321 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 49,167,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,167,321) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(49,167,321) x common factors =1 x 1 = 1

LCM(49,167,321) = ( 49 × 167 × 321 ) / 1

LCM(49,167,321) = 2626743 / 1

LCM(49,167,321) = 2626743


Lets's calculate GCF of 744,237,525

3 744, 237, 525
248, 79, 175

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2626743/3

Therefore the LCM of Fractions 49/744,167/237,321/525 is 875581

Greatest Common Factor of 744,237,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,237,525 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 744,237,525 . The biggest common factor number is the GCF number.
So the greatest common factor 744,237,525 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 49/744, 167/237, 321/525

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 49/744, 167/237, 321/525?

Answer: LCM of Numerators as per given numbers 49/744, 167/237, 321/525 is

LCM of Numerators i.e. for 49,167,321 is 2626743

GCF of denominators i.e. for 744,237,525 is 3.

Thus, LCM of Fractions is 875581.Finally, LCM of Fractions for 49/744, 167/237, 321/525 is 875581.