Least Common Multiple of 456/43, 464/1387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 456/43, 464/1387 quickly i.e. 26448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 456/43, 464/1387 is 26448.

LCM(456/43, 464/1387) = 26448

LCM of 456/43, 464/1387

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 456/43,464/1387

Given numbers are 456/43,464/1387

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 456,464

Least Common Multiple of Numerators i.e. LCM of 456,464 is 26448.

GCF of Denominators means GCF of 43,1387 as per the given fractions.

GCF of 43,1387 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 456,464

LCM of Fractions 456/43,464/1387 is 26448

2 456, 464
2 228, 232
2 114, 116
57, 58

∴ So the LCM of the given numbers is 2 x 2 x 2 x 57 x 58 = 26448

Least Common Multiple of 456,464 with GCF Formula

Least Common Multiple of 456,464 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 456,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,464) = 8

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

GCF(456,464) x common factors =8 x 1 = 8

LCM(456,464) = ( 456 × 464 ) / 8

LCM(456,464) = 211584 / 8

LCM(456,464) = 26448


Lets's calculate GCF of 43,1387

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26448/1

Therefore the LCM of Fractions 456/43,464/1387 is 26448

Greatest Common Factor of 43,1387 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,1387 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 1387

List of positive integer factors of 1387 that divides 1387 without a remainder.

1,19,73,1387

Greatest Common Factor

We found the factors 43,1387 . The biggest common factor number is the GCF number.
So the greatest common factor 43,1387 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 456/43, 464/1387

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 456/43, 464/1387?

Answer: LCM of Numerators as per given numbers 456/43, 464/1387 is

LCM of Numerators i.e. for 456,464 is 26448

GCF of denominators i.e. for 43,1387 is 1.

Thus, LCM of Fractions is 26448.Finally, LCM of Fractions for 456/43, 464/1387 is 26448.