Least Common Multiple of 966/10, 547/7384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 966/10, 547/7384 quickly i.e. 264201 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 966/10, 547/7384 is 264201.

LCM(966/10, 547/7384) = 264201

LCM of 966/10, 547/7384

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 966/10,547/7384

Given numbers are 966/10,547/7384

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 966,547

Least Common Multiple of Numerators i.e. LCM of 966,547 is 528402.

GCF of Denominators means GCF of 10,7384 as per the given fractions.

GCF of 10,7384 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 966,547

LCM of Fractions 966/10,547/7384 is 264201

Given numbers has no common factors except 1. So, there LCM is their product i.e 528402

Least Common Multiple of 966,547 with GCF Formula

Least Common Multiple of 966,547 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 966,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,547) = 1

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

GCF(966,547) x common factors =1 x 1 = 1

LCM(966,547) = ( 966 × 547 ) / 1

LCM(966,547) = 528402 / 1

LCM(966,547) = 528402


Lets's calculate GCF of 10,7384

2 10, 7384
5, 3692

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 528402/2

Therefore the LCM of Fractions 966/10,547/7384 is 264201

Greatest Common Factor of 10,7384 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,7384 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 7384

List of positive integer factors of 7384 that divides 7384 without a remainder.

1,2,4,8,13,26,52,71,104,142,284,568,923,1846,3692,7384

Greatest Common Factor

We found the factors 10,7384 . The biggest common factor number is the GCF number.
So the greatest common factor 10,7384 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 966/10, 547/7384

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 966/10, 547/7384?

Answer: LCM of Numerators as per given numbers 966/10, 547/7384 is

LCM of Numerators i.e. for 966,547 is 528402

GCF of denominators i.e. for 10,7384 is 2.

Thus, LCM of Fractions is 264201.Finally, LCM of Fractions for 966/10, 547/7384 is 264201.