Least Common Multiple of 635/11, 754/12, 827/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 635/11, 754/12, 827/103 quickly i.e. 395959330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 635/11, 754/12, 827/103 is 395959330.

LCM(635/11, 754/12, 827/103) = 395959330

LCM of 635/11, 754/12, 827/103

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 635/11,754/12,827/103

Given numbers are 635/11,754/12,827/103

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 635,754,827

Least Common Multiple of Numerators i.e. LCM of 635,754,827 is 395959330.

GCF of Denominators means GCF of 11,12,103 as per the given fractions.

GCF of 11,12,103 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 635,754,827

LCM of Fractions 635/11,754/12,827/103 is 395959330

Given numbers has no common factors except 1. So, there LCM is their product i.e 395959330

Least Common Multiple of 635,754,827 with GCF Formula

Least Common Multiple of 635,754,827 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 635,754,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(635,754,827) = 1

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

GCF(635,754,827) x common factors =1 x 1 = 1

LCM(635,754,827) = ( 635 × 754 × 827 ) / 1

LCM(635,754,827) = 395959330 / 1

LCM(635,754,827) = 395959330


Lets's calculate GCF of 11,12,103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 395959330/1

Therefore the LCM of Fractions 635/11,754/12,827/103 is 395959330

Greatest Common Factor of 11,12,103 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,12,103 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Greatest Common Factor

We found the factors 11,12,103 . The biggest common factor number is the GCF number.
So the greatest common factor 11,12,103 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 635/11, 754/12, 827/103

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 635/11, 754/12, 827/103?

Answer: LCM of Numerators as per given numbers 635/11, 754/12, 827/103 is

LCM of Numerators i.e. for 635,754,827 is 395959330

GCF of denominators i.e. for 11,12,103 is 1.

Thus, LCM of Fractions is 395959330.Finally, LCM of Fractions for 635/11, 754/12, 827/103 is 395959330.