Least Common Multiple of 80/510, 91/758, 232/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 80/510, 91/758, 232/629 quickly i.e. 211120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/510, 91/758, 232/629 is 211120.

LCM(80/510, 91/758, 232/629) = 211120

LCM of 80/510, 91/758, 232/629

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 80/510,91/758,232/629

Given numbers are 80/510,91/758,232/629

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 80,91,232

Least Common Multiple of Numerators i.e. LCM of 80,91,232 is 211120.

GCF of Denominators means GCF of 510,758,629 as per the given fractions.

GCF of 510,758,629 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,91,232

LCM of Fractions 80/510,91/758,232/629 is 211120

2 80, 91, 232
2 40, 91, 116
2 20, 91, 58
10, 91, 29

∴ So the LCM of the given numbers is 2 x 2 x 2 x 10 x 91 x 29 = 211120

Least Common Multiple of 80,91,232 with GCF Formula

Least Common Multiple of 80,91,232 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 80,91,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,91,232) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(80,91,232) x common factors =1 x 8 = 8

LCM(80,91,232) = ( 80 × 91 × 232 ) / 8

LCM(80,91,232) = 1688960 / 8

LCM(80,91,232) = 211120


Lets's calculate GCF of 510,758,629

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 211120/1

Therefore the LCM of Fractions 80/510,91/758,232/629 is 211120

Greatest Common Factor of 510,758,629 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,758,629 By Matching Biggest Common Factor Method

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Greatest Common Factor

We found the factors 510,758,629 . The biggest common factor number is the GCF number.
So the greatest common factor 510,758,629 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 80/510, 91/758, 232/629

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 80/510, 91/758, 232/629?

Answer: LCM of Numerators as per given numbers 80/510, 91/758, 232/629 is

LCM of Numerators i.e. for 80,91,232 is 211120

GCF of denominators i.e. for 510,758,629 is 1.

Thus, LCM of Fractions is 211120.Finally, LCM of Fractions for 80/510, 91/758, 232/629 is 211120.