Least Common Multiple of 397/698, 161/364, 820/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 397/698, 161/364, 820/944 quickly i.e. 26205970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 397/698, 161/364, 820/944 is 26205970.

LCM(397/698, 161/364, 820/944) = 26205970

LCM of 397/698, 161/364, 820/944

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 397/698,161/364,820/944

Given numbers are 397/698,161/364,820/944

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 397,161,820

Least Common Multiple of Numerators i.e. LCM of 397,161,820 is 52411940.

GCF of Denominators means GCF of 698,364,944 as per the given fractions.

GCF of 698,364,944 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 397,161,820

LCM of Fractions 397/698,161/364,820/944 is 26205970

Given numbers has no common factors except 1. So, there LCM is their product i.e 52411940

Least Common Multiple of 397,161,820 with GCF Formula

Least Common Multiple of 397,161,820 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 397,161,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(397,161,820) = 1

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

GCF(397,161,820) x common factors =1 x 1 = 1

LCM(397,161,820) = ( 397 × 161 × 820 ) / 1

LCM(397,161,820) = 52411940 / 1

LCM(397,161,820) = 52411940


Lets's calculate GCF of 698,364,944

2 698, 364, 944
349, 182, 472

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52411940/2

Therefore the LCM of Fractions 397/698,161/364,820/944 is 26205970

Greatest Common Factor of 698,364,944 By Matching Biggest Common Factor Method

Greatest Common Factor of 698,364,944 By Matching Biggest Common Factor Method

Factors of 698

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

1,2,349,698

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Greatest Common Factor

We found the factors 698,364,944 . The biggest common factor number is the GCF number.
So the greatest common factor 698,364,944 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 397/698, 161/364, 820/944

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 397/698, 161/364, 820/944?

Answer: LCM of Numerators as per given numbers 397/698, 161/364, 820/944 is

LCM of Numerators i.e. for 397,161,820 is 52411940

GCF of denominators i.e. for 698,364,944 is 2.

Thus, LCM of Fractions is 26205970.Finally, LCM of Fractions for 397/698, 161/364, 820/944 is 26205970.