Least Common Multiple of 62/960, 547/54, 269/555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 62/960, 547/54, 269/555 quickly i.e. 9122866/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/960, 547/54, 269/555 is 9122866/3.

LCM(62/960, 547/54, 269/555) = 9122866/3

LCM of 62/960, 547/54, 269/555

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 62/960,547/54,269/555

Given numbers are 62/960,547/54,269/555

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 62,547,269

Least Common Multiple of Numerators i.e. LCM of 62,547,269 is 9122866.

GCF of Denominators means GCF of 960,54,555 as per the given fractions.

GCF of 960,54,555 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,547,269

LCM of Fractions 62/960,547/54,269/555 is 9122866/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 9122866

Least Common Multiple of 62,547,269 with GCF Formula

Least Common Multiple of 62,547,269 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 62,547,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,547,269) = 1

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

GCF(62,547,269) x common factors =1 x 1 = 1

LCM(62,547,269) = ( 62 × 547 × 269 ) / 1

LCM(62,547,269) = 9122866 / 1

LCM(62,547,269) = 9122866


Lets's calculate GCF of 960,54,555

3 960, 54, 555
320, 18, 185

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9122866/3

Therefore the LCM of Fractions 62/960,547/54,269/555 is 9122866/3

Greatest Common Factor of 960,54,555 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,54,555 By Matching Biggest Common Factor Method

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Greatest Common Factor

We found the factors 960,54,555 . The biggest common factor number is the GCF number.
So the greatest common factor 960,54,555 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 62/960, 547/54, 269/555

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 62/960, 547/54, 269/555?

Answer: LCM of Numerators as per given numbers 62/960, 547/54, 269/555 is

LCM of Numerators i.e. for 62,547,269 is 9122866

GCF of denominators i.e. for 960,54,555 is 3.

Thus, LCM of Fractions is 9122866/3.Finally, LCM of Fractions for 62/960, 547/54, 269/555 is 9122866/3.