Least Common Multiple of 1037/76, 2415/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1037/76, 2415/918 quickly i.e. 2504355/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1037/76, 2415/918 is 2504355/2.

LCM(1037/76, 2415/918) = 2504355/2

LCM of 1037/76, 2415/918

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 1037/76,2415/918

Given numbers are 1037/76,2415/918

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 1037,2415

Least Common Multiple of Numerators i.e. LCM of 1037,2415 is 2504355.

GCF of Denominators means GCF of 76,918 as per the given fractions.

GCF of 76,918 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1037,2415

LCM of Fractions 1037/76,2415/918 is 2504355/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 2504355

Least Common Multiple of 1037,2415 with GCF Formula

Least Common Multiple of 1037,2415 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 1037,2415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1037,2415) = 1

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

GCF(1037,2415) x common factors =1 x 1 = 1

LCM(1037,2415) = ( 1037 × 2415 ) / 1

LCM(1037,2415) = 2504355 / 1

LCM(1037,2415) = 2504355


Lets's calculate GCF of 76,918

2 76, 918
38, 459

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2504355/2

Therefore the LCM of Fractions 1037/76,2415/918 is 2504355/2

Greatest Common Factor of 76,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,918 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 76,918 . The biggest common factor number is the GCF number.
So the greatest common factor 76,918 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1037/76, 2415/918

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 1037/76, 2415/918?

Answer: LCM of Numerators as per given numbers 1037/76, 2415/918 is

LCM of Numerators i.e. for 1037,2415 is 2504355

GCF of denominators i.e. for 76,918 is 2.

Thus, LCM of Fractions is 2504355/2.Finally, LCM of Fractions for 1037/76, 2415/918 is 2504355/2.