Least Common Multiple of 450/786, 118/744, 765/191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 450/786, 118/744, 765/191 quickly i.e. 451350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 450/786, 118/744, 765/191 is 451350.

LCM(450/786, 118/744, 765/191) = 451350

LCM of 450/786, 118/744, 765/191

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 450/786,118/744,765/191

Given numbers are 450/786,118/744,765/191

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 450,118,765

Least Common Multiple of Numerators i.e. LCM of 450,118,765 is 451350.

GCF of Denominators means GCF of 786,744,191 as per the given fractions.

GCF of 786,744,191 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 450,118,765

LCM of Fractions 450/786,118/744,765/191 is 451350

2 450, 118, 765
3 225, 59, 765
3 75, 59, 255
5 25, 59, 85
5, 59, 17

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 5 x 59 x 17 = 451350

Least Common Multiple of 450,118,765 with GCF Formula

Least Common Multiple of 450,118,765 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 450,118,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,118,765) = 1

common factors(in case of two or more numbers have common factors) = 90

GCF(450,118,765) x common factors =1 x 90 = 90

LCM(450,118,765) = ( 450 × 118 × 765 ) / 90

LCM(450,118,765) = 40621500 / 90

LCM(450,118,765) = 451350


Lets's calculate GCF of 786,744,191

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 451350/1

Therefore the LCM of Fractions 450/786,118/744,765/191 is 451350

Greatest Common Factor of 786,744,191 By Matching Biggest Common Factor Method

Greatest Common Factor of 786,744,191 By Matching Biggest Common Factor Method

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

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 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Greatest Common Factor

We found the factors 786,744,191 . The biggest common factor number is the GCF number.
So the greatest common factor 786,744,191 is 1.


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 450/786, 118/744, 765/191

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 450/786, 118/744, 765/191?

Answer: LCM of Numerators as per given numbers 450/786, 118/744, 765/191 is

LCM of Numerators i.e. for 450,118,765 is 451350

GCF of denominators i.e. for 786,744,191 is 1.

Thus, LCM of Fractions is 451350.Finally, LCM of Fractions for 450/786, 118/744, 765/191 is 451350.