Least Common Multiple of 669/54, 908/22, 975/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 669/54, 908/22, 975/698 quickly i.e. 98710950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 669/54, 908/22, 975/698 is 98710950.

LCM(669/54, 908/22, 975/698) = 98710950

LCM of 669/54, 908/22, 975/698

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 669/54,908/22,975/698

Given numbers are 669/54,908/22,975/698

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 669,908,975

Least Common Multiple of Numerators i.e. LCM of 669,908,975 is 197421900.

GCF of Denominators means GCF of 54,22,698 as per the given fractions.

GCF of 54,22,698 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 669,908,975

LCM of Fractions 669/54,908/22,975/698 is 98710950

3 669, 908, 975
223, 908, 325

∴ So the LCM of the given numbers is 3 x 223 x 908 x 325 = 197421900

Least Common Multiple of 669,908,975 with GCF Formula

Least Common Multiple of 669,908,975 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 669,908,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(669,908,975) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(669,908,975) x common factors =1 x 3 = 3

LCM(669,908,975) = ( 669 × 908 × 975 ) / 3

LCM(669,908,975) = 592265700 / 3

LCM(669,908,975) = 197421900


Lets's calculate GCF of 54,22,698

2 54, 22, 698
27, 11, 349

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 197421900/2

Therefore the LCM of Fractions 669/54,908/22,975/698 is 98710950

Greatest Common Factor of 54,22,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,22,698 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 54,22,698 . The biggest common factor number is the GCF number.
So the greatest common factor 54,22,698 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 669/54, 908/22, 975/698

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 669/54, 908/22, 975/698?

Answer: LCM of Numerators as per given numbers 669/54, 908/22, 975/698 is

LCM of Numerators i.e. for 669,908,975 is 197421900

GCF of denominators i.e. for 54,22,698 is 2.

Thus, LCM of Fractions is 98710950.Finally, LCM of Fractions for 669/54, 908/22, 975/698 is 98710950.