Least Common Multiple of 76/820, 618/307, 237/371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/820, 618/307, 237/371 quickly i.e. 1855236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/820, 618/307, 237/371 is 1855236.

LCM(76/820, 618/307, 237/371) = 1855236

LCM of 76/820, 618/307, 237/371

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 76/820,618/307,237/371

Given numbers are 76/820,618/307,237/371

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 76,618,237

Least Common Multiple of Numerators i.e. LCM of 76,618,237 is 1855236.

GCF of Denominators means GCF of 820,307,371 as per the given fractions.

GCF of 820,307,371 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,618,237

LCM of Fractions 76/820,618/307,237/371 is 1855236

2 76, 618, 237
3 38, 309, 237
38, 103, 79

∴ So the LCM of the given numbers is 2 x 3 x 38 x 103 x 79 = 1855236

Least Common Multiple of 76,618,237 with GCF Formula

Least Common Multiple of 76,618,237 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 76,618,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,618,237) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(76,618,237) x common factors =1 x 6 = 6

LCM(76,618,237) = ( 76 × 618 × 237 ) / 6

LCM(76,618,237) = 11131416 / 6

LCM(76,618,237) = 1855236


Lets's calculate GCF of 820,307,371

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1855236/1

Therefore the LCM of Fractions 76/820,618/307,237/371 is 1855236

Greatest Common Factor of 820,307,371 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,307,371 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Greatest Common Factor

We found the factors 820,307,371 . The biggest common factor number is the GCF number.
So the greatest common factor 820,307,371 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 76/820, 618/307, 237/371

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 76/820, 618/307, 237/371?

Answer: LCM of Numerators as per given numbers 76/820, 618/307, 237/371 is

LCM of Numerators i.e. for 76,618,237 is 1855236

GCF of denominators i.e. for 820,307,371 is 1.

Thus, LCM of Fractions is 1855236.Finally, LCM of Fractions for 76/820, 618/307, 237/371 is 1855236.