Least Common Multiple of 258/40, 900/775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 258/40, 900/775 quickly i.e. 7740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 258/40, 900/775 is 7740.

LCM(258/40, 900/775) = 7740

LCM of 258/40, 900/775

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 258/40,900/775

Given numbers are 258/40,900/775

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 258,900

Least Common Multiple of Numerators i.e. LCM of 258,900 is 38700.

GCF of Denominators means GCF of 40,775 as per the given fractions.

GCF of 40,775 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 258,900

LCM of Fractions 258/40,900/775 is 7740

2 258, 900
3 129, 450
43, 150

∴ So the LCM of the given numbers is 2 x 3 x 43 x 150 = 38700

Least Common Multiple of 258,900 with GCF Formula

Least Common Multiple of 258,900 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 258,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,900) = 6

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

GCF(258,900) x common factors =6 x 1 = 6

LCM(258,900) = ( 258 × 900 ) / 6

LCM(258,900) = 232200 / 6

LCM(258,900) = 38700


Lets's calculate GCF of 40,775

5 40, 775
8, 155

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38700/5

Therefore the LCM of Fractions 258/40,900/775 is 7740

Greatest Common Factor of 40,775 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,775 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Greatest Common Factor

We found the factors 40,775 . The biggest common factor number is the GCF number.
So the greatest common factor 40,775 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 258/40, 900/775

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 258/40, 900/775?

Answer: LCM of Numerators as per given numbers 258/40, 900/775 is

LCM of Numerators i.e. for 258,900 is 38700

GCF of denominators i.e. for 40,775 is 5.

Thus, LCM of Fractions is 7740.Finally, LCM of Fractions for 258/40, 900/775 is 7740.