Least Common Multiple of 52/272, 83/761, 405/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 52/272, 83/761, 405/776 quickly i.e. 1747980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/272, 83/761, 405/776 is 1747980.

LCM(52/272, 83/761, 405/776) = 1747980

LCM of 52/272, 83/761, 405/776

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 52/272,83/761,405/776

Given numbers are 52/272,83/761,405/776

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 52,83,405

Least Common Multiple of Numerators i.e. LCM of 52,83,405 is 1747980.

GCF of Denominators means GCF of 272,761,776 as per the given fractions.

GCF of 272,761,776 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,83,405

LCM of Fractions 52/272,83/761,405/776 is 1747980

Given numbers has no common factors except 1. So, there LCM is their product i.e 1747980

Least Common Multiple of 52,83,405 with GCF Formula

Least Common Multiple of 52,83,405 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 52,83,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,83,405) = 1

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

GCF(52,83,405) x common factors =1 x 1 = 1

LCM(52,83,405) = ( 52 × 83 × 405 ) / 1

LCM(52,83,405) = 1747980 / 1

LCM(52,83,405) = 1747980


Lets's calculate GCF of 272,761,776

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1747980/1

Therefore the LCM of Fractions 52/272,83/761,405/776 is 1747980

Greatest Common Factor of 272,761,776 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,761,776 By Matching Biggest Common Factor Method

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Greatest Common Factor

We found the factors 272,761,776 . The biggest common factor number is the GCF number.
So the greatest common factor 272,761,776 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 52/272, 83/761, 405/776

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 52/272, 83/761, 405/776?

Answer: LCM of Numerators as per given numbers 52/272, 83/761, 405/776 is

LCM of Numerators i.e. for 52,83,405 is 1747980

GCF of denominators i.e. for 272,761,776 is 1.

Thus, LCM of Fractions is 1747980.Finally, LCM of Fractions for 52/272, 83/761, 405/776 is 1747980.