Least Common Multiple of 460/53, 904/78, 822/943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 460/53, 904/78, 822/943 quickly i.e. 42727560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 460/53, 904/78, 822/943 is 42727560.

LCM(460/53, 904/78, 822/943) = 42727560

LCM of 460/53, 904/78, 822/943

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 460/53,904/78,822/943

Given numbers are 460/53,904/78,822/943

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 460,904,822

Least Common Multiple of Numerators i.e. LCM of 460,904,822 is 42727560.

GCF of Denominators means GCF of 53,78,943 as per the given fractions.

GCF of 53,78,943 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 460,904,822

LCM of Fractions 460/53,904/78,822/943 is 42727560

2 460, 904, 822
2 230, 452, 411
115, 226, 411

∴ So the LCM of the given numbers is 2 x 2 x 115 x 226 x 411 = 42727560

Least Common Multiple of 460,904,822 with GCF Formula

Least Common Multiple of 460,904,822 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 460,904,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,904,822) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(460,904,822) x common factors =2 x 4 = 8

LCM(460,904,822) = ( 460 × 904 × 822 ) / 8

LCM(460,904,822) = 341820480 / 8

LCM(460,904,822) = 42727560


Lets's calculate GCF of 53,78,943

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42727560/1

Therefore the LCM of Fractions 460/53,904/78,822/943 is 42727560

Greatest Common Factor of 53,78,943 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,78,943 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Greatest Common Factor

We found the factors 53,78,943 . The biggest common factor number is the GCF number.
So the greatest common factor 53,78,943 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 460/53, 904/78, 822/943

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 460/53, 904/78, 822/943?

Answer: LCM of Numerators as per given numbers 460/53, 904/78, 822/943 is

LCM of Numerators i.e. for 460,904,822 is 42727560

GCF of denominators i.e. for 53,78,943 is 1.

Thus, LCM of Fractions is 42727560.Finally, LCM of Fractions for 460/53, 904/78, 822/943 is 42727560.