Least Common Multiple of 456/649, 4832/4755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 456/649, 4832/4755 quickly i.e. 275424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 456/649, 4832/4755 is 275424.

LCM(456/649, 4832/4755) = 275424

LCM of 456/649, 4832/4755

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 456/649,4832/4755

Given numbers are 456/649,4832/4755

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 456,4832

Least Common Multiple of Numerators i.e. LCM of 456,4832 is 275424.

GCF of Denominators means GCF of 649,4755 as per the given fractions.

GCF of 649,4755 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 456,4832

LCM of Fractions 456/649,4832/4755 is 275424

2 456, 4832
2 228, 2416
2 114, 1208
57, 604

∴ So the LCM of the given numbers is 2 x 2 x 2 x 57 x 604 = 275424

Least Common Multiple of 456,4832 with GCF Formula

Least Common Multiple of 456,4832 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 456,4832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,4832) = 8

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

GCF(456,4832) x common factors =8 x 1 = 8

LCM(456,4832) = ( 456 × 4832 ) / 8

LCM(456,4832) = 2203392 / 8

LCM(456,4832) = 275424


Lets's calculate GCF of 649,4755

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 275424/1

Therefore the LCM of Fractions 456/649,4832/4755 is 275424

Greatest Common Factor of 649,4755 By Matching Biggest Common Factor Method

Greatest Common Factor of 649,4755 By Matching Biggest Common Factor Method

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 4755

List of positive integer factors of 4755 that divides 4755 without a remainder.

1,3,5,15,317,951,1585,4755

Greatest Common Factor

We found the factors 649,4755 . The biggest common factor number is the GCF number.
So the greatest common factor 649,4755 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 456/649, 4832/4755

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 456/649, 4832/4755?

Answer: LCM of Numerators as per given numbers 456/649, 4832/4755 is

LCM of Numerators i.e. for 456,4832 is 275424

GCF of denominators i.e. for 649,4755 is 1.

Thus, LCM of Fractions is 275424.Finally, LCM of Fractions for 456/649, 4832/4755 is 275424.