Least Common Multiple of 366/77, 512/7637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 366/77, 512/7637 quickly i.e. 93696/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 366/77, 512/7637 is 93696/7.

LCM(366/77, 512/7637) = 93696/7

LCM of 366/77, 512/7637

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 366/77,512/7637

Given numbers are 366/77,512/7637

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 366,512

Least Common Multiple of Numerators i.e. LCM of 366,512 is 93696.

GCF of Denominators means GCF of 77,7637 as per the given fractions.

GCF of 77,7637 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 366,512

LCM of Fractions 366/77,512/7637 is 93696/7

2 366, 512
183, 256

∴ So the LCM of the given numbers is 2 x 183 x 256 = 93696

Least Common Multiple of 366,512 with GCF Formula

Least Common Multiple of 366,512 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 366,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(366,512) = 2

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

GCF(366,512) x common factors =2 x 1 = 2

LCM(366,512) = ( 366 × 512 ) / 2

LCM(366,512) = 187392 / 2

LCM(366,512) = 93696


Lets's calculate GCF of 77,7637

7 77, 7637
11, 1091

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93696/7

Therefore the LCM of Fractions 366/77,512/7637 is 93696/7

Greatest Common Factor of 77,7637 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,7637 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 7637

List of positive integer factors of 7637 that divides 7637 without a remainder.

1,7,1091,7637

Greatest Common Factor

We found the factors 77,7637 . The biggest common factor number is the GCF number.
So the greatest common factor 77,7637 is 7.


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 366/77, 512/7637

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 366/77, 512/7637?

Answer: LCM of Numerators as per given numbers 366/77, 512/7637 is

LCM of Numerators i.e. for 366,512 is 93696

GCF of denominators i.e. for 77,7637 is 7.

Thus, LCM of Fractions is 93696/7.Finally, LCM of Fractions for 366/77, 512/7637 is 93696/7.