Least Common Multiple of 757/86, 151/10, 642/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 757/86, 151/10, 642/649 quickly i.e. 73385094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 757/86, 151/10, 642/649 is 73385094.

LCM(757/86, 151/10, 642/649) = 73385094

LCM of 757/86, 151/10, 642/649

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 757/86,151/10,642/649

Given numbers are 757/86,151/10,642/649

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 757,151,642

Least Common Multiple of Numerators i.e. LCM of 757,151,642 is 73385094.

GCF of Denominators means GCF of 86,10,649 as per the given fractions.

GCF of 86,10,649 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 757,151,642

LCM of Fractions 757/86,151/10,642/649 is 73385094

Given numbers has no common factors except 1. So, there LCM is their product i.e 73385094

Least Common Multiple of 757,151,642 with GCF Formula

Least Common Multiple of 757,151,642 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 757,151,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(757,151,642) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(757,151,642) x common factors =1 x 1 = 1

LCM(757,151,642) = ( 757 × 151 × 642 ) / 1

LCM(757,151,642) = 73385094 / 1

LCM(757,151,642) = 73385094


Lets's calculate GCF of 86,10,649

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73385094/1

Therefore the LCM of Fractions 757/86,151/10,642/649 is 73385094

Greatest Common Factor of 86,10,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,10,649 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 86,10,649 . The biggest common factor number is the GCF number.
So the greatest common factor 86,10,649 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 757/86, 151/10, 642/649

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 757/86, 151/10, 642/649?

Answer: LCM of Numerators as per given numbers 757/86, 151/10, 642/649 is

LCM of Numerators i.e. for 757,151,642 is 73385094

GCF of denominators i.e. for 86,10,649 is 1.

Thus, LCM of Fractions is 73385094.Finally, LCM of Fractions for 757/86, 151/10, 642/649 is 73385094.