Least Common Multiple of 60/852, 57/680, 430/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/852, 57/680, 430/824 quickly i.e. 12255 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/852, 57/680, 430/824 is 12255.

LCM(60/852, 57/680, 430/824) = 12255

LCM of 60/852, 57/680, 430/824

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 60/852,57/680,430/824

Given numbers are 60/852,57/680,430/824

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 60,57,430

Least Common Multiple of Numerators i.e. LCM of 60,57,430 is 49020.

GCF of Denominators means GCF of 852,680,824 as per the given fractions.

GCF of 852,680,824 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,57,430

LCM of Fractions 60/852,57/680,430/824 is 12255

2 60, 57, 430
3 30, 57, 215
5 10, 19, 215
2, 19, 43

∴ So the LCM of the given numbers is 2 x 3 x 5 x 2 x 19 x 43 = 49020

Least Common Multiple of 60,57,430 with GCF Formula

Least Common Multiple of 60,57,430 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 60,57,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,57,430) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(60,57,430) x common factors =1 x 30 = 30

LCM(60,57,430) = ( 60 × 57 × 430 ) / 30

LCM(60,57,430) = 1470600 / 30

LCM(60,57,430) = 49020


Lets's calculate GCF of 852,680,824

2 852, 680, 824
2 426, 340, 412
213, 170, 206

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49020/4

Therefore the LCM of Fractions 60/852,57/680,430/824 is 12255

Greatest Common Factor of 852,680,824 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,680,824 By Matching Biggest Common Factor Method

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

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Greatest Common Factor

We found the factors 852,680,824 . The biggest common factor number is the GCF number.
So the greatest common factor 852,680,824 is 4.


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 60/852, 57/680, 430/824

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 60/852, 57/680, 430/824?

Answer: LCM of Numerators as per given numbers 60/852, 57/680, 430/824 is

LCM of Numerators i.e. for 60,57,430 is 49020

GCF of denominators i.e. for 852,680,824 is 4.

Thus, LCM of Fractions is 12255.Finally, LCM of Fractions for 60/852, 57/680, 430/824 is 12255.