Least Common Multiple of 900/975, 6068/835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 900/975, 6068/835 quickly i.e. 273060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 900/975, 6068/835 is 273060.

LCM(900/975, 6068/835) = 273060

LCM of 900/975, 6068/835

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 900/975,6068/835

Given numbers are 900/975,6068/835

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 900,6068

Least Common Multiple of Numerators i.e. LCM of 900,6068 is 1365300.

GCF of Denominators means GCF of 975,835 as per the given fractions.

GCF of 975,835 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 900,6068

LCM of Fractions 900/975,6068/835 is 273060

2 900, 6068
2 450, 3034
225, 1517

∴ So the LCM of the given numbers is 2 x 2 x 225 x 1517 = 1365300

Least Common Multiple of 900,6068 with GCF Formula

Least Common Multiple of 900,6068 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 900,6068 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,6068) = 4

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

GCF(900,6068) x common factors =4 x 1 = 4

LCM(900,6068) = ( 900 × 6068 ) / 4

LCM(900,6068) = 5461200 / 4

LCM(900,6068) = 1365300


Lets's calculate GCF of 975,835

5 975, 835
195, 167

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1365300/5

Therefore the LCM of Fractions 900/975,6068/835 is 273060

Greatest Common Factor of 975,835 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,835 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 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Greatest Common Factor

We found the factors 975,835 . The biggest common factor number is the GCF number.
So the greatest common factor 975,835 is 5.


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 900/975, 6068/835

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 900/975, 6068/835?

Answer: LCM of Numerators as per given numbers 900/975, 6068/835 is

LCM of Numerators i.e. for 900,6068 is 1365300

GCF of denominators i.e. for 975,835 is 5.

Thus, LCM of Fractions is 273060.Finally, LCM of Fractions for 900/975, 6068/835 is 273060.