Least Common Multiple of 522/875, 3216/325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 522/875, 3216/325 quickly i.e. 279792/25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 522/875, 3216/325 is 279792/25.

LCM(522/875, 3216/325) = 279792/25

LCM of 522/875, 3216/325

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 522/875,3216/325

Given numbers are 522/875,3216/325

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 522,3216

Least Common Multiple of Numerators i.e. LCM of 522,3216 is 279792.

GCF of Denominators means GCF of 875,325 as per the given fractions.

GCF of 875,325 is 25 as it is the largest common factor for these numbers.

Lets's calculate LCM of 522,3216

LCM of Fractions 522/875,3216/325 is 279792/25

2 522, 3216
3 261, 1608
87, 536

∴ So the LCM of the given numbers is 2 x 3 x 87 x 536 = 279792

Least Common Multiple of 522,3216 with GCF Formula

Least Common Multiple of 522,3216 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 522,3216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,3216) = 6

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

GCF(522,3216) x common factors =6 x 1 = 6

LCM(522,3216) = ( 522 × 3216 ) / 6

LCM(522,3216) = 1678752 / 6

LCM(522,3216) = 279792


Lets's calculate GCF of 875,325

5 875, 325
5 175, 65
35, 13

∴ So the GCF of the given numbers is 5 x 5 = 25

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 279792/25

Therefore the LCM of Fractions 522/875,3216/325 is 279792/25

Greatest Common Factor of 875,325 By Matching Biggest Common Factor Method

Greatest Common Factor of 875,325 By Matching Biggest Common Factor Method

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Greatest Common Factor

We found the factors 875,325 . The biggest common factor number is the GCF number.
So the greatest common factor 875,325 is 25.


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 522/875, 3216/325

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 522/875, 3216/325?

Answer: LCM of Numerators as per given numbers 522/875, 3216/325 is

LCM of Numerators i.e. for 522,3216 is 279792

GCF of denominators i.e. for 875,325 is 25.

Thus, LCM of Fractions is 279792/25.Finally, LCM of Fractions for 522/875, 3216/325 is 279792/25.