Least Common Multiple of 14/636, 897/512, 971/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/636, 897/512, 971/402 quickly i.e. 6096909 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/636, 897/512, 971/402 is 6096909.

LCM(14/636, 897/512, 971/402) = 6096909

LCM of 14/636, 897/512, 971/402

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 14/636,897/512,971/402

Given numbers are 14/636,897/512,971/402

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 14,897,971

Least Common Multiple of Numerators i.e. LCM of 14,897,971 is 12193818.

GCF of Denominators means GCF of 636,512,402 as per the given fractions.

GCF of 636,512,402 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,897,971

LCM of Fractions 14/636,897/512,971/402 is 6096909

Given numbers has no common factors except 1. So, there LCM is their product i.e 12193818

Least Common Multiple of 14,897,971 with GCF Formula

Least Common Multiple of 14,897,971 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 14,897,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,897,971) = 1

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

GCF(14,897,971) x common factors =1 x 1 = 1

LCM(14,897,971) = ( 14 × 897 × 971 ) / 1

LCM(14,897,971) = 12193818 / 1

LCM(14,897,971) = 12193818


Lets's calculate GCF of 636,512,402

2 636, 512, 402
318, 256, 201

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12193818/2

Therefore the LCM of Fractions 14/636,897/512,971/402 is 6096909

Greatest Common Factor of 636,512,402 By Matching Biggest Common Factor Method

Greatest Common Factor of 636,512,402 By Matching Biggest Common Factor Method

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Greatest Common Factor

We found the factors 636,512,402 . The biggest common factor number is the GCF number.
So the greatest common factor 636,512,402 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 14/636, 897/512, 971/402

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 14/636, 897/512, 971/402?

Answer: LCM of Numerators as per given numbers 14/636, 897/512, 971/402 is

LCM of Numerators i.e. for 14,897,971 is 12193818

GCF of denominators i.e. for 636,512,402 is 2.

Thus, LCM of Fractions is 6096909.Finally, LCM of Fractions for 14/636, 897/512, 971/402 is 6096909.