Least Common Multiple of 307/410, 406/994, 541/636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 307/410, 406/994, 541/636 quickly i.e. 33715661 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 307/410, 406/994, 541/636 is 33715661.

LCM(307/410, 406/994, 541/636) = 33715661

LCM of 307/410, 406/994, 541/636

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 307/410,406/994,541/636

Given numbers are 307/410,406/994,541/636

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 307,406,541

Least Common Multiple of Numerators i.e. LCM of 307,406,541 is 67431322.

GCF of Denominators means GCF of 410,994,636 as per the given fractions.

GCF of 410,994,636 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 307,406,541

LCM of Fractions 307/410,406/994,541/636 is 33715661

Given numbers has no common factors except 1. So, there LCM is their product i.e 67431322

Least Common Multiple of 307,406,541 with GCF Formula

Least Common Multiple of 307,406,541 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 307,406,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,406,541) = 1

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

GCF(307,406,541) x common factors =1 x 1 = 1

LCM(307,406,541) = ( 307 × 406 × 541 ) / 1

LCM(307,406,541) = 67431322 / 1

LCM(307,406,541) = 67431322


Lets's calculate GCF of 410,994,636

2 410, 994, 636
205, 497, 318

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67431322/2

Therefore the LCM of Fractions 307/410,406/994,541/636 is 33715661

Greatest Common Factor of 410,994,636 By Matching Biggest Common Factor Method

Greatest Common Factor of 410,994,636 By Matching Biggest Common Factor Method

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

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

Greatest Common Factor

We found the factors 410,994,636 . The biggest common factor number is the GCF number.
So the greatest common factor 410,994,636 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 307/410, 406/994, 541/636

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 307/410, 406/994, 541/636?

Answer: LCM of Numerators as per given numbers 307/410, 406/994, 541/636 is

LCM of Numerators i.e. for 307,406,541 is 67431322

GCF of denominators i.e. for 410,994,636 is 2.

Thus, LCM of Fractions is 33715661.Finally, LCM of Fractions for 307/410, 406/994, 541/636 is 33715661.