Least Common Multiple of 900/49, 230/54, 307/633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 900/49, 230/54, 307/633 quickly i.e. 6354900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 900/49, 230/54, 307/633 is 6354900.

LCM(900/49, 230/54, 307/633) = 6354900

LCM of 900/49, 230/54, 307/633

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 900/49,230/54,307/633

Given numbers are 900/49,230/54,307/633

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 900,230,307

Least Common Multiple of Numerators i.e. LCM of 900,230,307 is 6354900.

GCF of Denominators means GCF of 49,54,633 as per the given fractions.

GCF of 49,54,633 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 900,230,307

LCM of Fractions 900/49,230/54,307/633 is 6354900

2 900, 230, 307
5 450, 115, 307
90, 23, 307

∴ So the LCM of the given numbers is 2 x 5 x 90 x 23 x 307 = 6354900

Least Common Multiple of 900,230,307 with GCF Formula

Least Common Multiple of 900,230,307 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 900,230,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,230,307) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(900,230,307) x common factors =1 x 10 = 10

LCM(900,230,307) = ( 900 × 230 × 307 ) / 10

LCM(900,230,307) = 63549000 / 10

LCM(900,230,307) = 6354900


Lets's calculate GCF of 49,54,633

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6354900/1

Therefore the LCM of Fractions 900/49,230/54,307/633 is 6354900

Greatest Common Factor of 49,54,633 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,54,633 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Greatest Common Factor

We found the factors 49,54,633 . The biggest common factor number is the GCF number.
So the greatest common factor 49,54,633 is 1.


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 900/49, 230/54, 307/633

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 900/49, 230/54, 307/633?

Answer: LCM of Numerators as per given numbers 900/49, 230/54, 307/633 is

LCM of Numerators i.e. for 900,230,307 is 6354900

GCF of denominators i.e. for 49,54,633 is 1.

Thus, LCM of Fractions is 6354900.Finally, LCM of Fractions for 900/49, 230/54, 307/633 is 6354900.