Least Common Multiple of 918/40, 548/4233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 918/40, 548/4233 quickly i.e. 251532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 918/40, 548/4233 is 251532.

LCM(918/40, 548/4233) = 251532

LCM of 918/40, 548/4233

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 918/40,548/4233

Given numbers are 918/40,548/4233

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 918,548

Least Common Multiple of Numerators i.e. LCM of 918,548 is 251532.

GCF of Denominators means GCF of 40,4233 as per the given fractions.

GCF of 40,4233 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 918,548

LCM of Fractions 918/40,548/4233 is 251532

2 918, 548
459, 274

∴ So the LCM of the given numbers is 2 x 459 x 274 = 251532

Least Common Multiple of 918,548 with GCF Formula

Least Common Multiple of 918,548 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 918,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,548) = 2

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

GCF(918,548) x common factors =2 x 1 = 2

LCM(918,548) = ( 918 × 548 ) / 2

LCM(918,548) = 503064 / 2

LCM(918,548) = 251532


Lets's calculate GCF of 40,4233

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 251532/1

Therefore the LCM of Fractions 918/40,548/4233 is 251532

Greatest Common Factor of 40,4233 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,4233 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 4233

List of positive integer factors of 4233 that divides 4233 without a remainder.

1,3,17,51,83,249,1411,4233

Greatest Common Factor

We found the factors 40,4233 . The biggest common factor number is the GCF number.
So the greatest common factor 40,4233 is 1.


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Frequently Asked Questions on Fractional LCM of 918/40, 548/4233

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 918/40, 548/4233?

Answer: LCM of Numerators as per given numbers 918/40, 548/4233 is

LCM of Numerators i.e. for 918,548 is 251532

GCF of denominators i.e. for 40,4233 is 1.

Thus, LCM of Fractions is 251532.Finally, LCM of Fractions for 918/40, 548/4233 is 251532.