Least Common Multiple of 595/84, 8512/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 595/84, 8512/712 quickly i.e. 180880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 595/84, 8512/712 is 180880.

LCM(595/84, 8512/712) = 180880

LCM of 595/84, 8512/712

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 595/84,8512/712

Given numbers are 595/84,8512/712

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 595,8512

Least Common Multiple of Numerators i.e. LCM of 595,8512 is 723520.

GCF of Denominators means GCF of 84,712 as per the given fractions.

GCF of 84,712 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 595,8512

LCM of Fractions 595/84,8512/712 is 180880

7 595, 8512
85, 1216

∴ So the LCM of the given numbers is 7 x 85 x 1216 = 723520

Least Common Multiple of 595,8512 with GCF Formula

Least Common Multiple of 595,8512 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 595,8512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(595,8512) = 7

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

GCF(595,8512) x common factors =7 x 1 = 7

LCM(595,8512) = ( 595 × 8512 ) / 7

LCM(595,8512) = 5064640 / 7

LCM(595,8512) = 723520


Lets's calculate GCF of 84,712

2 84, 712
2 42, 356
21, 178

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 723520/4

Therefore the LCM of Fractions 595/84,8512/712 is 180880

Greatest Common Factor of 84,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,712 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 84,712 . The biggest common factor number is the GCF number.
So the greatest common factor 84,712 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 595/84, 8512/712

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 595/84, 8512/712?

Answer: LCM of Numerators as per given numbers 595/84, 8512/712 is

LCM of Numerators i.e. for 595,8512 is 723520

GCF of denominators i.e. for 84,712 is 4.

Thus, LCM of Fractions is 180880.Finally, LCM of Fractions for 595/84, 8512/712 is 180880.