Least Common Multiple of 401/962, 698/871, 364/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 401/962, 698/871, 364/944 quickly i.e. 50941436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 401/962, 698/871, 364/944 is 50941436.

LCM(401/962, 698/871, 364/944) = 50941436

LCM of 401/962, 698/871, 364/944

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 401/962,698/871,364/944

Given numbers are 401/962,698/871,364/944

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 401,698,364

Least Common Multiple of Numerators i.e. LCM of 401,698,364 is 50941436.

GCF of Denominators means GCF of 962,871,944 as per the given fractions.

GCF of 962,871,944 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 401,698,364

LCM of Fractions 401/962,698/871,364/944 is 50941436

2 401, 698, 364
401, 349, 182

∴ So the LCM of the given numbers is 2 x 401 x 349 x 182 = 50941436

Least Common Multiple of 401,698,364 with GCF Formula

Least Common Multiple of 401,698,364 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 401,698,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(401,698,364) = 1

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

GCF(401,698,364) x common factors =1 x 2 = 2

LCM(401,698,364) = ( 401 × 698 × 364 ) / 2

LCM(401,698,364) = 101882872 / 2

LCM(401,698,364) = 50941436


Lets's calculate GCF of 962,871,944

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50941436/1

Therefore the LCM of Fractions 401/962,698/871,364/944 is 50941436

Greatest Common Factor of 962,871,944 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,871,944 By Matching Biggest Common Factor Method

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

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 962,871,944 . The biggest common factor number is the GCF number.
So the greatest common factor 962,871,944 is 1.


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 401/962, 698/871, 364/944

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 401/962, 698/871, 364/944?

Answer: LCM of Numerators as per given numbers 401/962, 698/871, 364/944 is

LCM of Numerators i.e. for 401,698,364 is 50941436

GCF of denominators i.e. for 962,871,944 is 1.

Thus, LCM of Fractions is 50941436.Finally, LCM of Fractions for 401/962, 698/871, 364/944 is 50941436.