Least Common Multiple of 761/463, 736/647, 342/277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 761/463, 736/647, 342/277 quickly i.e. 95776416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 761/463, 736/647, 342/277 is 95776416.

LCM(761/463, 736/647, 342/277) = 95776416

LCM of 761/463, 736/647, 342/277

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 761/463,736/647,342/277

Given numbers are 761/463,736/647,342/277

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 761,736,342

Least Common Multiple of Numerators i.e. LCM of 761,736,342 is 95776416.

GCF of Denominators means GCF of 463,647,277 as per the given fractions.

GCF of 463,647,277 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 761,736,342

LCM of Fractions 761/463,736/647,342/277 is 95776416

2 761, 736, 342
761, 368, 171

∴ So the LCM of the given numbers is 2 x 761 x 368 x 171 = 95776416

Least Common Multiple of 761,736,342 with GCF Formula

Least Common Multiple of 761,736,342 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 761,736,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,736,342) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(761,736,342) x common factors =1 x 2 = 2

LCM(761,736,342) = ( 761 × 736 × 342 ) / 2

LCM(761,736,342) = 191552832 / 2

LCM(761,736,342) = 95776416


Lets's calculate GCF of 463,647,277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95776416/1

Therefore the LCM of Fractions 761/463,736/647,342/277 is 95776416

Greatest Common Factor of 463,647,277 By Matching Biggest Common Factor Method

Greatest Common Factor of 463,647,277 By Matching Biggest Common Factor Method

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 647

List of positive integer factors of 647 that divides 647 without a remainder.

1,647

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Greatest Common Factor

We found the factors 463,647,277 . The biggest common factor number is the GCF number.
So the greatest common factor 463,647,277 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 761/463, 736/647, 342/277

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 761/463, 736/647, 342/277?

Answer: LCM of Numerators as per given numbers 761/463, 736/647, 342/277 is

LCM of Numerators i.e. for 761,736,342 is 95776416

GCF of denominators i.e. for 463,647,277 is 1.

Thus, LCM of Fractions is 95776416.Finally, LCM of Fractions for 761/463, 736/647, 342/277 is 95776416.