Least Common Multiple of 56/748, 2390/9029

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/748, 2390/9029 quickly i.e. 66920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/748, 2390/9029 is 66920.

LCM(56/748, 2390/9029) = 66920

LCM of 56/748, 2390/9029

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 56/748,2390/9029

Given numbers are 56/748,2390/9029

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 56,2390

Least Common Multiple of Numerators i.e. LCM of 56,2390 is 66920.

GCF of Denominators means GCF of 748,9029 as per the given fractions.

GCF of 748,9029 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,2390

LCM of Fractions 56/748,2390/9029 is 66920

2 56, 2390
28, 1195

∴ So the LCM of the given numbers is 2 x 28 x 1195 = 66920

Least Common Multiple of 56,2390 with GCF Formula

Least Common Multiple of 56,2390 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 56,2390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,2390) = 2

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

GCF(56,2390) x common factors =2 x 1 = 2

LCM(56,2390) = ( 56 × 2390 ) / 2

LCM(56,2390) = 133840 / 2

LCM(56,2390) = 66920


Lets's calculate GCF of 748,9029

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66920/1

Therefore the LCM of Fractions 56/748,2390/9029 is 66920

Greatest Common Factor of 748,9029 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,9029 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 9029

List of positive integer factors of 9029 that divides 9029 without a remainder.

1,9029

Greatest Common Factor

We found the factors 748,9029 . The biggest common factor number is the GCF number.
So the greatest common factor 748,9029 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 56/748, 2390/9029

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 56/748, 2390/9029?

Answer: LCM of Numerators as per given numbers 56/748, 2390/9029 is

LCM of Numerators i.e. for 56,2390 is 66920

GCF of denominators i.e. for 748,9029 is 1.

Thus, LCM of Fractions is 66920.Finally, LCM of Fractions for 56/748, 2390/9029 is 66920.