Least Common Multiple of 60/693, 67/524, 765/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/693, 67/524, 765/917 quickly i.e. 205020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/693, 67/524, 765/917 is 205020.

LCM(60/693, 67/524, 765/917) = 205020

LCM of 60/693, 67/524, 765/917

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 60/693,67/524,765/917

Given numbers are 60/693,67/524,765/917

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 60,67,765

Least Common Multiple of Numerators i.e. LCM of 60,67,765 is 205020.

GCF of Denominators means GCF of 693,524,917 as per the given fractions.

GCF of 693,524,917 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,67,765

LCM of Fractions 60/693,67/524,765/917 is 205020

3 60, 67, 765
5 20, 67, 255
4, 67, 51

∴ So the LCM of the given numbers is 3 x 5 x 4 x 67 x 51 = 205020

Least Common Multiple of 60,67,765 with GCF Formula

Least Common Multiple of 60,67,765 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 60,67,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,67,765) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(60,67,765) x common factors =1 x 15 = 15

LCM(60,67,765) = ( 60 × 67 × 765 ) / 15

LCM(60,67,765) = 3075300 / 15

LCM(60,67,765) = 205020


Lets's calculate GCF of 693,524,917

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 205020/1

Therefore the LCM of Fractions 60/693,67/524,765/917 is 205020

Greatest Common Factor of 693,524,917 By Matching Biggest Common Factor Method

Greatest Common Factor of 693,524,917 By Matching Biggest Common Factor Method

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Greatest Common Factor

We found the factors 693,524,917 . The biggest common factor number is the GCF number.
So the greatest common factor 693,524,917 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 60/693, 67/524, 765/917

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 60/693, 67/524, 765/917?

Answer: LCM of Numerators as per given numbers 60/693, 67/524, 765/917 is

LCM of Numerators i.e. for 60,67,765 is 205020

GCF of denominators i.e. for 693,524,917 is 1.

Thus, LCM of Fractions is 205020.Finally, LCM of Fractions for 60/693, 67/524, 765/917 is 205020.