Least Common Multiple of 515/33, 790/31, 849/752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 515/33, 790/31, 849/752 quickly i.e. 69083130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 515/33, 790/31, 849/752 is 69083130.

LCM(515/33, 790/31, 849/752) = 69083130

LCM of 515/33, 790/31, 849/752

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 515/33,790/31,849/752

Given numbers are 515/33,790/31,849/752

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 515,790,849

Least Common Multiple of Numerators i.e. LCM of 515,790,849 is 69083130.

GCF of Denominators means GCF of 33,31,752 as per the given fractions.

GCF of 33,31,752 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 515,790,849

LCM of Fractions 515/33,790/31,849/752 is 69083130

5 515, 790, 849
103, 158, 849

∴ So the LCM of the given numbers is 5 x 103 x 158 x 849 = 69083130

Least Common Multiple of 515,790,849 with GCF Formula

Least Common Multiple of 515,790,849 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 515,790,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(515,790,849) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(515,790,849) x common factors =1 x 5 = 5

LCM(515,790,849) = ( 515 × 790 × 849 ) / 5

LCM(515,790,849) = 345415650 / 5

LCM(515,790,849) = 69083130


Lets's calculate GCF of 33,31,752

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69083130/1

Therefore the LCM of Fractions 515/33,790/31,849/752 is 69083130

Greatest Common Factor of 33,31,752 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,31,752 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Greatest Common Factor

We found the factors 33,31,752 . The biggest common factor number is the GCF number.
So the greatest common factor 33,31,752 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 515/33, 790/31, 849/752

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 515/33, 790/31, 849/752?

Answer: LCM of Numerators as per given numbers 515/33, 790/31, 849/752 is

LCM of Numerators i.e. for 515,790,849 is 69083130

GCF of denominators i.e. for 33,31,752 is 1.

Thus, LCM of Fractions is 69083130.Finally, LCM of Fractions for 515/33, 790/31, 849/752 is 69083130.