Least Common Multiple of 64/76, 78/221, 308/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/76, 78/221, 308/292 quickly i.e. 192192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/76, 78/221, 308/292 is 192192.

LCM(64/76, 78/221, 308/292) = 192192

LCM of 64/76, 78/221, 308/292

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 64/76,78/221,308/292

Given numbers are 64/76,78/221,308/292

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 64,78,308

Least Common Multiple of Numerators i.e. LCM of 64,78,308 is 192192.

GCF of Denominators means GCF of 76,221,292 as per the given fractions.

GCF of 76,221,292 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,78,308

LCM of Fractions 64/76,78/221,308/292 is 192192

2 64, 78, 308
2 32, 39, 154
16, 39, 77

∴ So the LCM of the given numbers is 2 x 2 x 16 x 39 x 77 = 192192

Least Common Multiple of 64,78,308 with GCF Formula

Least Common Multiple of 64,78,308 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 64,78,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,78,308) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(64,78,308) x common factors =2 x 4 = 8

LCM(64,78,308) = ( 64 × 78 × 308 ) / 8

LCM(64,78,308) = 1537536 / 8

LCM(64,78,308) = 192192


Lets's calculate GCF of 76,221,292

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 192192/1

Therefore the LCM of Fractions 64/76,78/221,308/292 is 192192

Greatest Common Factor of 76,221,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,221,292 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 76,221,292 . The biggest common factor number is the GCF number.
So the greatest common factor 76,221,292 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 64/76, 78/221, 308/292

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 64/76, 78/221, 308/292?

Answer: LCM of Numerators as per given numbers 64/76, 78/221, 308/292 is

LCM of Numerators i.e. for 64,78,308 is 192192

GCF of denominators i.e. for 76,221,292 is 1.

Thus, LCM of Fractions is 192192.Finally, LCM of Fractions for 64/76, 78/221, 308/292 is 192192.