Least Common Multiple of 37/468, 228/385, 760/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/468, 228/385, 760/949 quickly i.e. 84360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/468, 228/385, 760/949 is 84360.

LCM(37/468, 228/385, 760/949) = 84360

LCM of 37/468, 228/385, 760/949

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 37/468,228/385,760/949

Given numbers are 37/468,228/385,760/949

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 37,228,760

Least Common Multiple of Numerators i.e. LCM of 37,228,760 is 84360.

GCF of Denominators means GCF of 468,385,949 as per the given fractions.

GCF of 468,385,949 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,228,760

LCM of Fractions 37/468,228/385,760/949 is 84360

2 37, 228, 760
2 37, 114, 380
19 37, 57, 190
37, 3, 10

∴ So the LCM of the given numbers is 2 x 2 x 19 x 37 x 3 x 10 = 84360

Least Common Multiple of 37,228,760 with GCF Formula

Least Common Multiple of 37,228,760 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 37,228,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,228,760) = 1

common factors(in case of two or more numbers have common factors) = 76

GCF(37,228,760) x common factors =1 x 76 = 76

LCM(37,228,760) = ( 37 × 228 × 760 ) / 76

LCM(37,228,760) = 6411360 / 76

LCM(37,228,760) = 84360


Lets's calculate GCF of 468,385,949

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84360/1

Therefore the LCM of Fractions 37/468,228/385,760/949 is 84360

Greatest Common Factor of 468,385,949 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,385,949 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Greatest Common Factor

We found the factors 468,385,949 . The biggest common factor number is the GCF number.
So the greatest common factor 468,385,949 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 37/468, 228/385, 760/949

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 37/468, 228/385, 760/949?

Answer: LCM of Numerators as per given numbers 37/468, 228/385, 760/949 is

LCM of Numerators i.e. for 37,228,760 is 84360

GCF of denominators i.e. for 468,385,949 is 1.

Thus, LCM of Fractions is 84360.Finally, LCM of Fractions for 37/468, 228/385, 760/949 is 84360.