Least Common Multiple of 52/677, 279/152, 916/745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/677, 279/152, 916/745 quickly i.e. 3322332 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/677, 279/152, 916/745 is 3322332.

LCM(52/677, 279/152, 916/745) = 3322332

LCM of 52/677, 279/152, 916/745

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 52/677,279/152,916/745

Given numbers are 52/677,279/152,916/745

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 52,279,916

Least Common Multiple of Numerators i.e. LCM of 52,279,916 is 3322332.

GCF of Denominators means GCF of 677,152,745 as per the given fractions.

GCF of 677,152,745 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,279,916

LCM of Fractions 52/677,279/152,916/745 is 3322332

2 52, 279, 916
2 26, 279, 458
13, 279, 229

∴ So the LCM of the given numbers is 2 x 2 x 13 x 279 x 229 = 3322332

Least Common Multiple of 52,279,916 with GCF Formula

Least Common Multiple of 52,279,916 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 52,279,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,279,916) = 1

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

GCF(52,279,916) x common factors =1 x 4 = 4

LCM(52,279,916) = ( 52 × 279 × 916 ) / 4

LCM(52,279,916) = 13289328 / 4

LCM(52,279,916) = 3322332


Lets's calculate GCF of 677,152,745

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3322332/1

Therefore the LCM of Fractions 52/677,279/152,916/745 is 3322332

Greatest Common Factor of 677,152,745 By Matching Biggest Common Factor Method

Greatest Common Factor of 677,152,745 By Matching Biggest Common Factor Method

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Greatest Common Factor

We found the factors 677,152,745 . The biggest common factor number is the GCF number.
So the greatest common factor 677,152,745 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 52/677, 279/152, 916/745

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 52/677, 279/152, 916/745?

Answer: LCM of Numerators as per given numbers 52/677, 279/152, 916/745 is

LCM of Numerators i.e. for 52,279,916 is 3322332

GCF of denominators i.e. for 677,152,745 is 1.

Thus, LCM of Fractions is 3322332.Finally, LCM of Fractions for 52/677, 279/152, 916/745 is 3322332.