Least Common Multiple of 46/946, 4732/1520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/946, 4732/1520 quickly i.e. 54418 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/946, 4732/1520 is 54418.

LCM(46/946, 4732/1520) = 54418

LCM of 46/946, 4732/1520

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 46/946,4732/1520

Given numbers are 46/946,4732/1520

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 46,4732

Least Common Multiple of Numerators i.e. LCM of 46,4732 is 108836.

GCF of Denominators means GCF of 946,1520 as per the given fractions.

GCF of 946,1520 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,4732

LCM of Fractions 46/946,4732/1520 is 54418

2 46, 4732
23, 2366

∴ So the LCM of the given numbers is 2 x 23 x 2366 = 108836

Least Common Multiple of 46,4732 with GCF Formula

Least Common Multiple of 46,4732 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 46,4732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,4732) = 2

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

GCF(46,4732) x common factors =2 x 1 = 2

LCM(46,4732) = ( 46 × 4732 ) / 2

LCM(46,4732) = 217672 / 2

LCM(46,4732) = 108836


Lets's calculate GCF of 946,1520

2 946, 1520
473, 760

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108836/2

Therefore the LCM of Fractions 46/946,4732/1520 is 54418

Greatest Common Factor of 946,1520 By Matching Biggest Common Factor Method

Greatest Common Factor of 946,1520 By Matching Biggest Common Factor Method

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 1520

List of positive integer factors of 1520 that divides 1520 without a remainder.

1,2,4,5,8,10,16,19,20,38,40,76,80,95,152,190,304,380,760,1520

Greatest Common Factor

We found the factors 946,1520 . The biggest common factor number is the GCF number.
So the greatest common factor 946,1520 is 2.


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 46/946, 4732/1520

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 46/946, 4732/1520?

Answer: LCM of Numerators as per given numbers 46/946, 4732/1520 is

LCM of Numerators i.e. for 46,4732 is 108836

GCF of denominators i.e. for 946,1520 is 2.

Thus, LCM of Fractions is 54418.Finally, LCM of Fractions for 46/946, 4732/1520 is 54418.