Least Common Multiple of 465/596, 649/617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 465/596, 649/617 quickly i.e. 301785 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 465/596, 649/617 is 301785.

LCM(465/596, 649/617) = 301785

LCM of 465/596, 649/617

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 465/596,649/617

Given numbers are 465/596,649/617

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 465,649

Least Common Multiple of Numerators i.e. LCM of 465,649 is 301785.

GCF of Denominators means GCF of 596,617 as per the given fractions.

GCF of 596,617 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 465,649

LCM of Fractions 465/596,649/617 is 301785

Given numbers has no common factors except 1. So, there LCM is their product i.e 301785

Least Common Multiple of 465,649 with GCF Formula

Least Common Multiple of 465,649 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 465,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,649) = 1

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

GCF(465,649) x common factors =1 x 1 = 1

LCM(465,649) = ( 465 × 649 ) / 1

LCM(465,649) = 301785 / 1

LCM(465,649) = 301785


Lets's calculate GCF of 596,617

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 301785/1

Therefore the LCM of Fractions 465/596,649/617 is 301785

Greatest Common Factor of 596,617 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,617 By Matching Biggest Common Factor Method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Greatest Common Factor

We found the factors 596,617 . The biggest common factor number is the GCF number.
So the greatest common factor 596,617 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 465/596, 649/617

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 465/596, 649/617?

Answer: LCM of Numerators as per given numbers 465/596, 649/617 is

LCM of Numerators i.e. for 465,649 is 301785

GCF of denominators i.e. for 596,617 is 1.

Thus, LCM of Fractions is 301785.Finally, LCM of Fractions for 465/596, 649/617 is 301785.