Least Common Multiple of 65/152, 163/820, 269/637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 65/152, 163/820, 269/637 quickly i.e. 2850055 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/152, 163/820, 269/637 is 2850055.

LCM(65/152, 163/820, 269/637) = 2850055

LCM of 65/152, 163/820, 269/637

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 65/152,163/820,269/637

Given numbers are 65/152,163/820,269/637

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 65,163,269

Least Common Multiple of Numerators i.e. LCM of 65,163,269 is 2850055.

GCF of Denominators means GCF of 152,820,637 as per the given fractions.

GCF of 152,820,637 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,163,269

LCM of Fractions 65/152,163/820,269/637 is 2850055

Given numbers has no common factors except 1. So, there LCM is their product i.e 2850055

Least Common Multiple of 65,163,269 with GCF Formula

Least Common Multiple of 65,163,269 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 65,163,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,163,269) = 1

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

GCF(65,163,269) x common factors =1 x 1 = 1

LCM(65,163,269) = ( 65 × 163 × 269 ) / 1

LCM(65,163,269) = 2850055 / 1

LCM(65,163,269) = 2850055


Lets's calculate GCF of 152,820,637

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2850055/1

Therefore the LCM of Fractions 65/152,163/820,269/637 is 2850055

Greatest Common Factor of 152,820,637 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,820,637 By Matching Biggest Common Factor Method

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Greatest Common Factor

We found the factors 152,820,637 . The biggest common factor number is the GCF number.
So the greatest common factor 152,820,637 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 65/152, 163/820, 269/637

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 65/152, 163/820, 269/637?

Answer: LCM of Numerators as per given numbers 65/152, 163/820, 269/637 is

LCM of Numerators i.e. for 65,163,269 is 2850055

GCF of denominators i.e. for 152,820,637 is 1.

Thus, LCM of Fractions is 2850055.Finally, LCM of Fractions for 65/152, 163/820, 269/637 is 2850055.