Least Common Multiple of 960/34, 762/2766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 960/34, 762/2766 quickly i.e. 60960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 960/34, 762/2766 is 60960.

LCM(960/34, 762/2766) = 60960

LCM of 960/34, 762/2766

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 960/34,762/2766

Given numbers are 960/34,762/2766

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 960,762

Least Common Multiple of Numerators i.e. LCM of 960,762 is 121920.

GCF of Denominators means GCF of 34,2766 as per the given fractions.

GCF of 34,2766 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 960,762

LCM of Fractions 960/34,762/2766 is 60960

2 960, 762
3 480, 381
160, 127

∴ So the LCM of the given numbers is 2 x 3 x 160 x 127 = 121920

Least Common Multiple of 960,762 with GCF Formula

Least Common Multiple of 960,762 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 960,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,762) = 6

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

GCF(960,762) x common factors =6 x 1 = 6

LCM(960,762) = ( 960 × 762 ) / 6

LCM(960,762) = 731520 / 6

LCM(960,762) = 121920


Lets's calculate GCF of 34,2766

2 34, 2766
17, 1383

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121920/2

Therefore the LCM of Fractions 960/34,762/2766 is 60960

Greatest Common Factor of 34,2766 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,2766 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 2766

List of positive integer factors of 2766 that divides 2766 without a remainder.

1,2,3,6,461,922,1383,2766

Greatest Common Factor

We found the factors 34,2766 . The biggest common factor number is the GCF number.
So the greatest common factor 34,2766 is 2.


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 960/34, 762/2766

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 960/34, 762/2766?

Answer: LCM of Numerators as per given numbers 960/34, 762/2766 is

LCM of Numerators i.e. for 960,762 is 121920

GCF of denominators i.e. for 34,2766 is 2.

Thus, LCM of Fractions is 60960.Finally, LCM of Fractions for 960/34, 762/2766 is 60960.