Least Common Multiple of 70/802, 977/378, 749/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/802, 977/378, 749/294 quickly i.e. 3658865 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/802, 977/378, 749/294 is 3658865.

LCM(70/802, 977/378, 749/294) = 3658865

LCM of 70/802, 977/378, 749/294

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 70/802,977/378,749/294

Given numbers are 70/802,977/378,749/294

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 70,977,749

Least Common Multiple of Numerators i.e. LCM of 70,977,749 is 7317730.

GCF of Denominators means GCF of 802,378,294 as per the given fractions.

GCF of 802,378,294 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,977,749

LCM of Fractions 70/802,977/378,749/294 is 3658865

7 70, 977, 749
10, 977, 107

∴ So the LCM of the given numbers is 7 x 10 x 977 x 107 = 7317730

Least Common Multiple of 70,977,749 with GCF Formula

Least Common Multiple of 70,977,749 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 70,977,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,977,749) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(70,977,749) x common factors =1 x 7 = 7

LCM(70,977,749) = ( 70 × 977 × 749 ) / 7

LCM(70,977,749) = 51224110 / 7

LCM(70,977,749) = 7317730


Lets's calculate GCF of 802,378,294

2 802, 378, 294
401, 189, 147

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7317730/2

Therefore the LCM of Fractions 70/802,977/378,749/294 is 3658865

Greatest Common Factor of 802,378,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 802,378,294 By Matching Biggest Common Factor Method

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 802,378,294 . The biggest common factor number is the GCF number.
So the greatest common factor 802,378,294 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 70/802, 977/378, 749/294

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 70/802, 977/378, 749/294?

Answer: LCM of Numerators as per given numbers 70/802, 977/378, 749/294 is

LCM of Numerators i.e. for 70,977,749 is 7317730

GCF of denominators i.e. for 802,378,294 is 2.

Thus, LCM of Fractions is 3658865.Finally, LCM of Fractions for 70/802, 977/378, 749/294 is 3658865.