Least Common Multiple of 140/988, 744/688, 819/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 140/988, 744/688, 819/794 quickly i.e. 507780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 140/988, 744/688, 819/794 is 507780.

LCM(140/988, 744/688, 819/794) = 507780

LCM of 140/988, 744/688, 819/794

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 140/988,744/688,819/794

Given numbers are 140/988,744/688,819/794

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 140,744,819

Least Common Multiple of Numerators i.e. LCM of 140,744,819 is 1015560.

GCF of Denominators means GCF of 988,688,794 as per the given fractions.

GCF of 988,688,794 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 140,744,819

LCM of Fractions 140/988,744/688,819/794 is 507780

2 140, 744, 819
2 70, 372, 819
3 35, 186, 819
7 35, 62, 273
5, 62, 39

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 5 x 62 x 39 = 1015560

Least Common Multiple of 140,744,819 with GCF Formula

Least Common Multiple of 140,744,819 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 140,744,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,744,819) = 1

common factors(in case of two or more numbers have common factors) = 84

GCF(140,744,819) x common factors =1 x 84 = 84

LCM(140,744,819) = ( 140 × 744 × 819 ) / 84

LCM(140,744,819) = 85307040 / 84

LCM(140,744,819) = 1015560


Lets's calculate GCF of 988,688,794

2 988, 688, 794
494, 344, 397

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1015560/2

Therefore the LCM of Fractions 140/988,744/688,819/794 is 507780

Greatest Common Factor of 988,688,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 988,688,794 By Matching Biggest Common Factor Method

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors 988,688,794 . The biggest common factor number is the GCF number.
So the greatest common factor 988,688,794 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 140/988, 744/688, 819/794

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 140/988, 744/688, 819/794?

Answer: LCM of Numerators as per given numbers 140/988, 744/688, 819/794 is

LCM of Numerators i.e. for 140,744,819 is 1015560

GCF of denominators i.e. for 988,688,794 is 2.

Thus, LCM of Fractions is 507780.Finally, LCM of Fractions for 140/988, 744/688, 819/794 is 507780.