Least Common Multiple of 515/121, 506/765, 653/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 515/121, 506/765, 653/852 quickly i.e. 170165270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 515/121, 506/765, 653/852 is 170165270.

LCM(515/121, 506/765, 653/852) = 170165270

LCM of 515/121, 506/765, 653/852

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 515/121,506/765,653/852

Given numbers are 515/121,506/765,653/852

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 515,506,653

Least Common Multiple of Numerators i.e. LCM of 515,506,653 is 170165270.

GCF of Denominators means GCF of 121,765,852 as per the given fractions.

GCF of 121,765,852 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 515,506,653

LCM of Fractions 515/121,506/765,653/852 is 170165270

Given numbers has no common factors except 1. So, there LCM is their product i.e 170165270

Least Common Multiple of 515,506,653 with GCF Formula

Least Common Multiple of 515,506,653 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 515,506,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(515,506,653) = 1

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

GCF(515,506,653) x common factors =1 x 1 = 1

LCM(515,506,653) = ( 515 × 506 × 653 ) / 1

LCM(515,506,653) = 170165270 / 1

LCM(515,506,653) = 170165270


Lets's calculate GCF of 121,765,852

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170165270/1

Therefore the LCM of Fractions 515/121,506/765,653/852 is 170165270

Greatest Common Factor of 121,765,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 121,765,852 By Matching Biggest Common Factor Method

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Greatest Common Factor

We found the factors 121,765,852 . The biggest common factor number is the GCF number.
So the greatest common factor 121,765,852 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 515/121, 506/765, 653/852

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 515/121, 506/765, 653/852?

Answer: LCM of Numerators as per given numbers 515/121, 506/765, 653/852 is

LCM of Numerators i.e. for 515,506,653 is 170165270

GCF of denominators i.e. for 121,765,852 is 1.

Thus, LCM of Fractions is 170165270.Finally, LCM of Fractions for 515/121, 506/765, 653/852 is 170165270.