Least Common Multiple of 464/148, 5334/4941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 464/148, 5334/4941 quickly i.e. 1237488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 464/148, 5334/4941 is 1237488.

LCM(464/148, 5334/4941) = 1237488

LCM of 464/148, 5334/4941

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 464/148,5334/4941

Given numbers are 464/148,5334/4941

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 464,5334

Least Common Multiple of Numerators i.e. LCM of 464,5334 is 1237488.

GCF of Denominators means GCF of 148,4941 as per the given fractions.

GCF of 148,4941 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 464,5334

LCM of Fractions 464/148,5334/4941 is 1237488

2 464, 5334
232, 2667

∴ So the LCM of the given numbers is 2 x 232 x 2667 = 1237488

Least Common Multiple of 464,5334 with GCF Formula

Least Common Multiple of 464,5334 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 464,5334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,5334) = 2

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

GCF(464,5334) x common factors =2 x 1 = 2

LCM(464,5334) = ( 464 × 5334 ) / 2

LCM(464,5334) = 2474976 / 2

LCM(464,5334) = 1237488


Lets's calculate GCF of 148,4941

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1237488/1

Therefore the LCM of Fractions 464/148,5334/4941 is 1237488

Greatest Common Factor of 148,4941 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,4941 By Matching Biggest Common Factor Method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 4941

List of positive integer factors of 4941 that divides 4941 without a remainder.

1,3,9,27,61,81,183,549,1647,4941

Greatest Common Factor

We found the factors 148,4941 . The biggest common factor number is the GCF number.
So the greatest common factor 148,4941 is 1.


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Frequently Asked Questions on Fractional LCM of 464/148, 5334/4941

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 464/148, 5334/4941?

Answer: LCM of Numerators as per given numbers 464/148, 5334/4941 is

LCM of Numerators i.e. for 464,5334 is 1237488

GCF of denominators i.e. for 148,4941 is 1.

Thus, LCM of Fractions is 1237488.Finally, LCM of Fractions for 464/148, 5334/4941 is 1237488.