Least Common Multiple of 960/96, 692/64, 852/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 960/96, 692/64, 852/410 quickly i.e. 5895840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 960/96, 692/64, 852/410 is 5895840.

LCM(960/96, 692/64, 852/410) = 5895840

LCM of 960/96, 692/64, 852/410

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 960/96,692/64,852/410

Given numbers are 960/96,692/64,852/410

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 960,692,852

Least Common Multiple of Numerators i.e. LCM of 960,692,852 is 11791680.

GCF of Denominators means GCF of 96,64,410 as per the given fractions.

GCF of 96,64,410 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 960,692,852

LCM of Fractions 960/96,692/64,852/410 is 5895840

2 960, 692, 852
2 480, 346, 426
3 240, 173, 213
80, 173, 71

∴ So the LCM of the given numbers is 2 x 2 x 3 x 80 x 173 x 71 = 11791680

Least Common Multiple of 960,692,852 with GCF Formula

Least Common Multiple of 960,692,852 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 960,692,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,692,852) = 4

common factors(in case of two or more numbers have common factors) = 12

GCF(960,692,852) x common factors =4 x 12 = 48

LCM(960,692,852) = ( 960 × 692 × 852 ) / 48

LCM(960,692,852) = 566000640 / 48

LCM(960,692,852) = 11791680


Lets's calculate GCF of 96,64,410

2 96, 64, 410
48, 32, 205

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11791680/2

Therefore the LCM of Fractions 960/96,692/64,852/410 is 5895840

Greatest Common Factor of 96,64,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,64,410 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 96,64,410 . The biggest common factor number is the GCF number.
So the greatest common factor 96,64,410 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 960/96, 692/64, 852/410

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 960/96, 692/64, 852/410?

Answer: LCM of Numerators as per given numbers 960/96, 692/64, 852/410 is

LCM of Numerators i.e. for 960,692,852 is 11791680

GCF of denominators i.e. for 96,64,410 is 2.

Thus, LCM of Fractions is 5895840.Finally, LCM of Fractions for 960/96, 692/64, 852/410 is 5895840.