Least Common Multiple of 649/456, 457/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 649/456, 457/577 quickly i.e. 296593 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 649/456, 457/577 is 296593.

LCM(649/456, 457/577) = 296593

LCM of 649/456, 457/577

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 649/456,457/577

Given numbers are 649/456,457/577

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 649,457

Least Common Multiple of Numerators i.e. LCM of 649,457 is 296593.

GCF of Denominators means GCF of 456,577 as per the given fractions.

GCF of 456,577 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 649,457

LCM of Fractions 649/456,457/577 is 296593

Given numbers has no common factors except 1. So, there LCM is their product i.e 296593

Least Common Multiple of 649,457 with GCF Formula

Least Common Multiple of 649,457 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 649,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,457) = 1

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

GCF(649,457) x common factors =1 x 1 = 1

LCM(649,457) = ( 649 × 457 ) / 1

LCM(649,457) = 296593 / 1

LCM(649,457) = 296593


Lets's calculate GCF of 456,577

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 296593/1

Therefore the LCM of Fractions 649/456,457/577 is 296593

Greatest Common Factor of 456,577 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,577 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Greatest Common Factor

We found the factors 456,577 . The biggest common factor number is the GCF number.
So the greatest common factor 456,577 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 649/456, 457/577

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 649/456, 457/577?

Answer: LCM of Numerators as per given numbers 649/456, 457/577 is

LCM of Numerators i.e. for 649,457 is 296593

GCF of denominators i.e. for 456,577 is 1.

Thus, LCM of Fractions is 296593.Finally, LCM of Fractions for 649/456, 457/577 is 296593.