Least Common Multiple of 277/13, 960/35, 628/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 277/13, 960/35, 628/352 quickly i.e. 41749440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 277/13, 960/35, 628/352 is 41749440.

LCM(277/13, 960/35, 628/352) = 41749440

LCM of 277/13, 960/35, 628/352

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 277/13,960/35,628/352

Given numbers are 277/13,960/35,628/352

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 277,960,628

Least Common Multiple of Numerators i.e. LCM of 277,960,628 is 41749440.

GCF of Denominators means GCF of 13,35,352 as per the given fractions.

GCF of 13,35,352 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 277,960,628

LCM of Fractions 277/13,960/35,628/352 is 41749440

2 277, 960, 628
2 277, 480, 314
277, 240, 157

∴ So the LCM of the given numbers is 2 x 2 x 277 x 240 x 157 = 41749440

Least Common Multiple of 277,960,628 with GCF Formula

Least Common Multiple of 277,960,628 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 277,960,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,960,628) = 1

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

GCF(277,960,628) x common factors =1 x 4 = 4

LCM(277,960,628) = ( 277 × 960 × 628 ) / 4

LCM(277,960,628) = 166997760 / 4

LCM(277,960,628) = 41749440


Lets's calculate GCF of 13,35,352

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41749440/1

Therefore the LCM of Fractions 277/13,960/35,628/352 is 41749440

Greatest Common Factor of 13,35,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,35,352 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 13,35,352 . The biggest common factor number is the GCF number.
So the greatest common factor 13,35,352 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 277/13, 960/35, 628/352

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 277/13, 960/35, 628/352?

Answer: LCM of Numerators as per given numbers 277/13, 960/35, 628/352 is

LCM of Numerators i.e. for 277,960,628 is 41749440

GCF of denominators i.e. for 13,35,352 is 1.

Thus, LCM of Fractions is 41749440.Finally, LCM of Fractions for 277/13, 960/35, 628/352 is 41749440.