Least Common Multiple of 777/338, 370/910, 699/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 777/338, 370/910, 699/642 quickly i.e. 905205 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 777/338, 370/910, 699/642 is 905205.

LCM(777/338, 370/910, 699/642) = 905205

LCM of 777/338, 370/910, 699/642

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 777/338,370/910,699/642

Given numbers are 777/338,370/910,699/642

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 777,370,699

Least Common Multiple of Numerators i.e. LCM of 777,370,699 is 1810410.

GCF of Denominators means GCF of 338,910,642 as per the given fractions.

GCF of 338,910,642 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 777,370,699

LCM of Fractions 777/338,370/910,699/642 is 905205

3 777, 370, 699
37 259, 370, 233
7, 10, 233

∴ So the LCM of the given numbers is 3 x 37 x 7 x 10 x 233 = 1810410

Least Common Multiple of 777,370,699 with GCF Formula

Least Common Multiple of 777,370,699 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 777,370,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(777,370,699) = 1

common factors(in case of two or more numbers have common factors) = 111

GCF(777,370,699) x common factors =1 x 111 = 111

LCM(777,370,699) = ( 777 × 370 × 699 ) / 111

LCM(777,370,699) = 200955510 / 111

LCM(777,370,699) = 1810410


Lets's calculate GCF of 338,910,642

2 338, 910, 642
169, 455, 321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1810410/2

Therefore the LCM of Fractions 777/338,370/910,699/642 is 905205

Greatest Common Factor of 338,910,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,910,642 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 338,910,642 . The biggest common factor number is the GCF number.
So the greatest common factor 338,910,642 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 777/338, 370/910, 699/642

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 777/338, 370/910, 699/642?

Answer: LCM of Numerators as per given numbers 777/338, 370/910, 699/642 is

LCM of Numerators i.e. for 777,370,699 is 1810410

GCF of denominators i.e. for 338,910,642 is 2.

Thus, LCM of Fractions is 905205.Finally, LCM of Fractions for 777/338, 370/910, 699/642 is 905205.