Least Common Multiple of 149/57, 378/7360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 149/57, 378/7360 quickly i.e. 56322 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 149/57, 378/7360 is 56322.

LCM(149/57, 378/7360) = 56322

LCM of 149/57, 378/7360

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 149/57,378/7360

Given numbers are 149/57,378/7360

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 149,378

Least Common Multiple of Numerators i.e. LCM of 149,378 is 56322.

GCF of Denominators means GCF of 57,7360 as per the given fractions.

GCF of 57,7360 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 149,378

LCM of Fractions 149/57,378/7360 is 56322

Given numbers has no common factors except 1. So, there LCM is their product i.e 56322

Least Common Multiple of 149,378 with GCF Formula

Least Common Multiple of 149,378 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 149,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,378) = 1

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

GCF(149,378) x common factors =1 x 1 = 1

LCM(149,378) = ( 149 × 378 ) / 1

LCM(149,378) = 56322 / 1

LCM(149,378) = 56322


Lets's calculate GCF of 57,7360

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56322/1

Therefore the LCM of Fractions 149/57,378/7360 is 56322

Greatest Common Factor of 57,7360 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,7360 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 7360

List of positive integer factors of 7360 that divides 7360 without a remainder.

1,2,4,5,8,10,16,20,23,32,40,46,64,80,92,115,160,184,230,320,368,460,736,920,1472,1840,3680,7360

Greatest Common Factor

We found the factors 57,7360 . The biggest common factor number is the GCF number.
So the greatest common factor 57,7360 is 1.


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 149/57, 378/7360

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 149/57, 378/7360?

Answer: LCM of Numerators as per given numbers 149/57, 378/7360 is

LCM of Numerators i.e. for 149,378 is 56322

GCF of denominators i.e. for 57,7360 is 1.

Thus, LCM of Fractions is 56322.Finally, LCM of Fractions for 149/57, 378/7360 is 56322.