Least Common Multiple of 650/69, 691/20, 356/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 650/69, 691/20, 356/405 quickly i.e. 79948700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 650/69, 691/20, 356/405 is 79948700.

LCM(650/69, 691/20, 356/405) = 79948700

LCM of 650/69, 691/20, 356/405

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 650/69,691/20,356/405

Given numbers are 650/69,691/20,356/405

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 650,691,356

Least Common Multiple of Numerators i.e. LCM of 650,691,356 is 79948700.

GCF of Denominators means GCF of 69,20,405 as per the given fractions.

GCF of 69,20,405 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 650,691,356

LCM of Fractions 650/69,691/20,356/405 is 79948700

2 650, 691, 356
325, 691, 178

∴ So the LCM of the given numbers is 2 x 325 x 691 x 178 = 79948700

Least Common Multiple of 650,691,356 with GCF Formula

Least Common Multiple of 650,691,356 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 650,691,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(650,691,356) = 1

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

GCF(650,691,356) x common factors =1 x 2 = 2

LCM(650,691,356) = ( 650 × 691 × 356 ) / 2

LCM(650,691,356) = 159897400 / 2

LCM(650,691,356) = 79948700


Lets's calculate GCF of 69,20,405

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79948700/1

Therefore the LCM of Fractions 650/69,691/20,356/405 is 79948700

Greatest Common Factor of 69,20,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,20,405 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 69,20,405 . The biggest common factor number is the GCF number.
So the greatest common factor 69,20,405 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 650/69, 691/20, 356/405

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 650/69, 691/20, 356/405?

Answer: LCM of Numerators as per given numbers 650/69, 691/20, 356/405 is

LCM of Numerators i.e. for 650,691,356 is 79948700

GCF of denominators i.e. for 69,20,405 is 1.

Thus, LCM of Fractions is 79948700.Finally, LCM of Fractions for 650/69, 691/20, 356/405 is 79948700.