Least Common Multiple of 870/56, 600/13, 842/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 870/56, 600/13, 842/824 quickly i.e. 7325400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 870/56, 600/13, 842/824 is 7325400.

LCM(870/56, 600/13, 842/824) = 7325400

LCM of 870/56, 600/13, 842/824

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 870/56,600/13,842/824

Given numbers are 870/56,600/13,842/824

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 870,600,842

Least Common Multiple of Numerators i.e. LCM of 870,600,842 is 7325400.

GCF of Denominators means GCF of 56,13,824 as per the given fractions.

GCF of 56,13,824 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 870,600,842

LCM of Fractions 870/56,600/13,842/824 is 7325400

2 870, 600, 842
3 435, 300, 421
5 145, 100, 421
29, 20, 421

∴ So the LCM of the given numbers is 2 x 3 x 5 x 29 x 20 x 421 = 7325400

Least Common Multiple of 870,600,842 with GCF Formula

Least Common Multiple of 870,600,842 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 870,600,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,600,842) = 2

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

GCF(870,600,842) x common factors =2 x 30 = 60

LCM(870,600,842) = ( 870 × 600 × 842 ) / 60

LCM(870,600,842) = 439524000 / 60

LCM(870,600,842) = 7325400


Lets's calculate GCF of 56,13,824

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7325400/1

Therefore the LCM of Fractions 870/56,600/13,842/824 is 7325400

Greatest Common Factor of 56,13,824 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,13,824 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

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 56,13,824 . The biggest common factor number is the GCF number.
So the greatest common factor 56,13,824 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 870/56, 600/13, 842/824

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 870/56, 600/13, 842/824?

Answer: LCM of Numerators as per given numbers 870/56, 600/13, 842/824 is

LCM of Numerators i.e. for 870,600,842 is 7325400

GCF of denominators i.e. for 56,13,824 is 1.

Thus, LCM of Fractions is 7325400.Finally, LCM of Fractions for 870/56, 600/13, 842/824 is 7325400.