Least Common Multiple of 969/476, 9672/2360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 969/476, 9672/2360 quickly i.e. 781014 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 969/476, 9672/2360 is 781014.

LCM(969/476, 9672/2360) = 781014

LCM of 969/476, 9672/2360

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 969/476,9672/2360

Given numbers are 969/476,9672/2360

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 969,9672

Least Common Multiple of Numerators i.e. LCM of 969,9672 is 3124056.

GCF of Denominators means GCF of 476,2360 as per the given fractions.

GCF of 476,2360 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 969,9672

LCM of Fractions 969/476,9672/2360 is 781014

3 969, 9672
323, 3224

∴ So the LCM of the given numbers is 3 x 323 x 3224 = 3124056

Least Common Multiple of 969,9672 with GCF Formula

Least Common Multiple of 969,9672 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 969,9672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,9672) = 3

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

GCF(969,9672) x common factors =3 x 1 = 3

LCM(969,9672) = ( 969 × 9672 ) / 3

LCM(969,9672) = 9372168 / 3

LCM(969,9672) = 3124056


Lets's calculate GCF of 476,2360

2 476, 2360
2 238, 1180
119, 590

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3124056/4

Therefore the LCM of Fractions 969/476,9672/2360 is 781014

Greatest Common Factor of 476,2360 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,2360 By Matching Biggest Common Factor Method

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 2360

List of positive integer factors of 2360 that divides 2360 without a remainder.

1,2,4,5,8,10,20,40,59,118,236,295,472,590,1180,2360

Greatest Common Factor

We found the factors 476,2360 . The biggest common factor number is the GCF number.
So the greatest common factor 476,2360 is 4.


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 969/476, 9672/2360

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 969/476, 9672/2360?

Answer: LCM of Numerators as per given numbers 969/476, 9672/2360 is

LCM of Numerators i.e. for 969,9672 is 3124056

GCF of denominators i.e. for 476,2360 is 4.

Thus, LCM of Fractions is 781014.Finally, LCM of Fractions for 969/476, 9672/2360 is 781014.