Least Common Multiple of 56/110, 23/748, 690/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/110, 23/748, 690/728 quickly i.e. 9660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/110, 23/748, 690/728 is 9660.

LCM(56/110, 23/748, 690/728) = 9660

LCM of 56/110, 23/748, 690/728

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 56/110,23/748,690/728

Given numbers are 56/110,23/748,690/728

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 56,23,690

Least Common Multiple of Numerators i.e. LCM of 56,23,690 is 19320.

GCF of Denominators means GCF of 110,748,728 as per the given fractions.

GCF of 110,748,728 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,23,690

LCM of Fractions 56/110,23/748,690/728 is 9660

2 56, 23, 690
23 28, 23, 345
28, 1, 15

∴ So the LCM of the given numbers is 2 x 23 x 28 x 1 x 15 = 19320

Least Common Multiple of 56,23,690 with GCF Formula

Least Common Multiple of 56,23,690 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 56,23,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,23,690) = 1

common factors(in case of two or more numbers have common factors) = 46

GCF(56,23,690) x common factors =1 x 46 = 46

LCM(56,23,690) = ( 56 × 23 × 690 ) / 46

LCM(56,23,690) = 888720 / 46

LCM(56,23,690) = 19320


Lets's calculate GCF of 110,748,728

2 110, 748, 728
55, 374, 364

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19320/2

Therefore the LCM of Fractions 56/110,23/748,690/728 is 9660

Greatest Common Factor of 110,748,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,748,728 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

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 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 110,748,728 . The biggest common factor number is the GCF number.
So the greatest common factor 110,748,728 is 2.


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 56/110, 23/748, 690/728

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 56/110, 23/748, 690/728?

Answer: LCM of Numerators as per given numbers 56/110, 23/748, 690/728 is

LCM of Numerators i.e. for 56,23,690 is 19320

GCF of denominators i.e. for 110,748,728 is 2.

Thus, LCM of Fractions is 9660.Finally, LCM of Fractions for 56/110, 23/748, 690/728 is 9660.