Least Common Multiple of 864/975, 5025/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 864/975, 5025/475 quickly i.e. 57888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 864/975, 5025/475 is 57888.

LCM(864/975, 5025/475) = 57888

LCM of 864/975, 5025/475

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 864/975,5025/475

Given numbers are 864/975,5025/475

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 864,5025

Least Common Multiple of Numerators i.e. LCM of 864,5025 is 1447200.

GCF of Denominators means GCF of 975,475 as per the given fractions.

GCF of 975,475 is 25 as it is the largest common factor for these numbers.

Lets's calculate LCM of 864,5025

LCM of Fractions 864/975,5025/475 is 57888

3 864, 5025
288, 1675

∴ So the LCM of the given numbers is 3 x 288 x 1675 = 1447200

Least Common Multiple of 864,5025 with GCF Formula

Least Common Multiple of 864,5025 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 864,5025 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,5025) = 3

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

GCF(864,5025) x common factors =3 x 1 = 3

LCM(864,5025) = ( 864 × 5025 ) / 3

LCM(864,5025) = 4341600 / 3

LCM(864,5025) = 1447200


Lets's calculate GCF of 975,475

5 975, 475
5 195, 95
39, 19

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1447200/25

Therefore the LCM of Fractions 864/975,5025/475 is 57888

Greatest Common Factor of 975,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,475 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 975,475 . The biggest common factor number is the GCF number.
So the greatest common factor 975,475 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 864/975, 5025/475

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 864/975, 5025/475?

Answer: LCM of Numerators as per given numbers 864/975, 5025/475 is

LCM of Numerators i.e. for 864,5025 is 1447200

GCF of denominators i.e. for 975,475 is 25.

Thus, LCM of Fractions is 57888.Finally, LCM of Fractions for 864/975, 5025/475 is 57888.