Least Common Multiple of 45/858, 846/744, 957/699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/858, 846/744, 957/699 quickly i.e. 449790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/858, 846/744, 957/699 is 449790.

LCM(45/858, 846/744, 957/699) = 449790

LCM of 45/858, 846/744, 957/699

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 45/858,846/744,957/699

Given numbers are 45/858,846/744,957/699

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 45,846,957

Least Common Multiple of Numerators i.e. LCM of 45,846,957 is 1349370.

GCF of Denominators means GCF of 858,744,699 as per the given fractions.

GCF of 858,744,699 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,846,957

LCM of Fractions 45/858,846/744,957/699 is 449790

3 45, 846, 957
3 15, 282, 319
5, 94, 319

∴ So the LCM of the given numbers is 3 x 3 x 5 x 94 x 319 = 1349370

Least Common Multiple of 45,846,957 with GCF Formula

Least Common Multiple of 45,846,957 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 45,846,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,846,957) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(45,846,957) x common factors =3 x 9 = 27

LCM(45,846,957) = ( 45 × 846 × 957 ) / 27

LCM(45,846,957) = 36432990 / 27

LCM(45,846,957) = 1349370


Lets's calculate GCF of 858,744,699

3 858, 744, 699
286, 248, 233

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1349370/3

Therefore the LCM of Fractions 45/858,846/744,957/699 is 449790

Greatest Common Factor of 858,744,699 By Matching Biggest Common Factor Method

Greatest Common Factor of 858,744,699 By Matching Biggest Common Factor Method

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Greatest Common Factor

We found the factors 858,744,699 . The biggest common factor number is the GCF number.
So the greatest common factor 858,744,699 is 3.


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 45/858, 846/744, 957/699

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 45/858, 846/744, 957/699?

Answer: LCM of Numerators as per given numbers 45/858, 846/744, 957/699 is

LCM of Numerators i.e. for 45,846,957 is 1349370

GCF of denominators i.e. for 858,744,699 is 3.

Thus, LCM of Fractions is 449790.Finally, LCM of Fractions for 45/858, 846/744, 957/699 is 449790.