Least Common Multiple of 3678/920, 2743/7499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3678/920, 2743/7499 quickly i.e. 10088754 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3678/920, 2743/7499 is 10088754.

LCM(3678/920, 2743/7499) = 10088754

LCM of 3678/920, 2743/7499

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 3678/920,2743/7499

Given numbers are 3678/920,2743/7499

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 3678,2743

Least Common Multiple of Numerators i.e. LCM of 3678,2743 is 10088754.

GCF of Denominators means GCF of 920,7499 as per the given fractions.

GCF of 920,7499 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3678,2743

LCM of Fractions 3678/920,2743/7499 is 10088754

Given numbers has no common factors except 1. So, there LCM is their product i.e 10088754

Least Common Multiple of 3678,2743 with GCF Formula

Least Common Multiple of 3678,2743 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 3678,2743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3678,2743) = 1

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

GCF(3678,2743) x common factors =1 x 1 = 1

LCM(3678,2743) = ( 3678 × 2743 ) / 1

LCM(3678,2743) = 10088754 / 1

LCM(3678,2743) = 10088754


Lets's calculate GCF of 920,7499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10088754/1

Therefore the LCM of Fractions 3678/920,2743/7499 is 10088754

Greatest Common Factor of 920,7499 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,7499 By Matching Biggest Common Factor Method

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 7499

List of positive integer factors of 7499 that divides 7499 without a remainder.

1,7499

Greatest Common Factor

We found the factors 920,7499 . The biggest common factor number is the GCF number.
So the greatest common factor 920,7499 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 3678/920, 2743/7499

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 3678/920, 2743/7499?

Answer: LCM of Numerators as per given numbers 3678/920, 2743/7499 is

LCM of Numerators i.e. for 3678,2743 is 10088754

GCF of denominators i.e. for 920,7499 is 1.

Thus, LCM of Fractions is 10088754.Finally, LCM of Fractions for 3678/920, 2743/7499 is 10088754.