Least Common Multiple of 960/47, 207/25, 696/36

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 960/47, 207/25, 696/36 quickly i.e. 1920960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 960/47, 207/25, 696/36 is 1920960.

LCM(960/47, 207/25, 696/36) = 1920960

LCM of 960/47, 207/25, 696/36

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 960/47,207/25,696/36

Given numbers are 960/47,207/25,696/36

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 960,207,696

Least Common Multiple of Numerators i.e. LCM of 960,207,696 is 1920960.

GCF of Denominators means GCF of 47,25,36 as per the given fractions.

GCF of 47,25,36 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 960,207,696

LCM of Fractions 960/47,207/25,696/36 is 1920960

2 960, 207, 696
2 480, 207, 348
2 240, 207, 174
3 120, 207, 87
40, 69, 29

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 40 x 69 x 29 = 1920960

Least Common Multiple of 960,207,696 with GCF Formula

Least Common Multiple of 960,207,696 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 960,207,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,207,696) = 3

common factors(in case of two or more numbers have common factors) = 24

GCF(960,207,696) x common factors =3 x 24 = 72

LCM(960,207,696) = ( 960 × 207 × 696 ) / 72

LCM(960,207,696) = 138309120 / 72

LCM(960,207,696) = 1920960


Lets's calculate GCF of 47,25,36

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1920960/1

Therefore the LCM of Fractions 960/47,207/25,696/36 is 1920960

Greatest Common Factor of 47,25,36 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,25,36 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Greatest Common Factor

We found the factors 47,25,36 . The biggest common factor number is the GCF number.
So the greatest common factor 47,25,36 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 960/47, 207/25, 696/36

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 960/47, 207/25, 696/36?

Answer: LCM of Numerators as per given numbers 960/47, 207/25, 696/36 is

LCM of Numerators i.e. for 960,207,696 is 1920960

GCF of denominators i.e. for 47,25,36 is 1.

Thus, LCM of Fractions is 1920960.Finally, LCM of Fractions for 960/47, 207/25, 696/36 is 1920960.