Least Common Multiple of 3250/281, 9045/4954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3250/281, 9045/4954 quickly i.e. 5879250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3250/281, 9045/4954 is 5879250.

LCM(3250/281, 9045/4954) = 5879250

LCM of 3250/281, 9045/4954

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 3250/281,9045/4954

Given numbers are 3250/281,9045/4954

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 3250,9045

Least Common Multiple of Numerators i.e. LCM of 3250,9045 is 5879250.

GCF of Denominators means GCF of 281,4954 as per the given fractions.

GCF of 281,4954 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3250,9045

LCM of Fractions 3250/281,9045/4954 is 5879250

5 3250, 9045
650, 1809

∴ So the LCM of the given numbers is 5 x 650 x 1809 = 5879250

Least Common Multiple of 3250,9045 with GCF Formula

Least Common Multiple of 3250,9045 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 3250,9045 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3250,9045) = 5

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

GCF(3250,9045) x common factors =5 x 1 = 5

LCM(3250,9045) = ( 3250 × 9045 ) / 5

LCM(3250,9045) = 29396250 / 5

LCM(3250,9045) = 5879250


Lets's calculate GCF of 281,4954

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5879250/1

Therefore the LCM of Fractions 3250/281,9045/4954 is 5879250

Greatest Common Factor of 281,4954 By Matching Biggest Common Factor Method

Greatest Common Factor of 281,4954 By Matching Biggest Common Factor Method

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Factors of 4954

List of positive integer factors of 4954 that divides 4954 without a remainder.

1,2,2477,4954

Greatest Common Factor

We found the factors 281,4954 . The biggest common factor number is the GCF number.
So the greatest common factor 281,4954 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 3250/281, 9045/4954

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 3250/281, 9045/4954?

Answer: LCM of Numerators as per given numbers 3250/281, 9045/4954 is

LCM of Numerators i.e. for 3250,9045 is 5879250

GCF of denominators i.e. for 281,4954 is 1.

Thus, LCM of Fractions is 5879250.Finally, LCM of Fractions for 3250/281, 9045/4954 is 5879250.