Least Common Multiple of 97/984, 746/408, 788/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/984, 746/408, 788/110 quickly i.e. 14255314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/984, 746/408, 788/110 is 14255314.

LCM(97/984, 746/408, 788/110) = 14255314

LCM of 97/984, 746/408, 788/110

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 97/984,746/408,788/110

Given numbers are 97/984,746/408,788/110

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 97,746,788

Least Common Multiple of Numerators i.e. LCM of 97,746,788 is 28510628.

GCF of Denominators means GCF of 984,408,110 as per the given fractions.

GCF of 984,408,110 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,746,788

LCM of Fractions 97/984,746/408,788/110 is 14255314

2 97, 746, 788
97, 373, 394

∴ So the LCM of the given numbers is 2 x 97 x 373 x 394 = 28510628

Least Common Multiple of 97,746,788 with GCF Formula

Least Common Multiple of 97,746,788 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 97,746,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,746,788) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(97,746,788) x common factors =1 x 2 = 2

LCM(97,746,788) = ( 97 × 746 × 788 ) / 2

LCM(97,746,788) = 57021256 / 2

LCM(97,746,788) = 28510628


Lets's calculate GCF of 984,408,110

2 984, 408, 110
492, 204, 55

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28510628/2

Therefore the LCM of Fractions 97/984,746/408,788/110 is 14255314

Greatest Common Factor of 984,408,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 984,408,110 By Matching Biggest Common Factor Method

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 110

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

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

Greatest Common Factor

We found the factors 984,408,110 . The biggest common factor number is the GCF number.
So the greatest common factor 984,408,110 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 97/984, 746/408, 788/110

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 97/984, 746/408, 788/110?

Answer: LCM of Numerators as per given numbers 97/984, 746/408, 788/110 is

LCM of Numerators i.e. for 97,746,788 is 28510628

GCF of denominators i.e. for 984,408,110 is 2.

Thus, LCM of Fractions is 14255314.Finally, LCM of Fractions for 97/984, 746/408, 788/110 is 14255314.