Least Common Multiple of 875/11, 484/66, 974/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 875/11, 484/66, 974/759 quickly i.e. 18749500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 875/11, 484/66, 974/759 is 18749500.

LCM(875/11, 484/66, 974/759) = 18749500

LCM of 875/11, 484/66, 974/759

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 875/11,484/66,974/759

Given numbers are 875/11,484/66,974/759

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 875,484,974

Least Common Multiple of Numerators i.e. LCM of 875,484,974 is 206244500.

GCF of Denominators means GCF of 11,66,759 as per the given fractions.

GCF of 11,66,759 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 875,484,974

LCM of Fractions 875/11,484/66,974/759 is 18749500

2 875, 484, 974
875, 242, 487

∴ So the LCM of the given numbers is 2 x 875 x 242 x 487 = 206244500

Least Common Multiple of 875,484,974 with GCF Formula

Least Common Multiple of 875,484,974 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 875,484,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(875,484,974) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(875,484,974) x common factors =1 x 2 = 2

LCM(875,484,974) = ( 875 × 484 × 974 ) / 2

LCM(875,484,974) = 412489000 / 2

LCM(875,484,974) = 206244500


Lets's calculate GCF of 11,66,759

11 11, 66, 759
1, 6, 69

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 206244500/11

Therefore the LCM of Fractions 875/11,484/66,974/759 is 18749500

Greatest Common Factor of 11,66,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,66,759 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 11,66,759 . The biggest common factor number is the GCF number.
So the greatest common factor 11,66,759 is 11.


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 875/11, 484/66, 974/759

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 875/11, 484/66, 974/759?

Answer: LCM of Numerators as per given numbers 875/11, 484/66, 974/759 is

LCM of Numerators i.e. for 875,484,974 is 206244500

GCF of denominators i.e. for 11,66,759 is 11.

Thus, LCM of Fractions is 18749500.Finally, LCM of Fractions for 875/11, 484/66, 974/759 is 18749500.