Least Common Multiple of 499/213, 597/376, 935/621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 499/213, 597/376, 935/621 quickly i.e. 278539305 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 499/213, 597/376, 935/621 is 278539305.

LCM(499/213, 597/376, 935/621) = 278539305

LCM of 499/213, 597/376, 935/621

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 499/213,597/376,935/621

Given numbers are 499/213,597/376,935/621

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 499,597,935

Least Common Multiple of Numerators i.e. LCM of 499,597,935 is 278539305.

GCF of Denominators means GCF of 213,376,621 as per the given fractions.

GCF of 213,376,621 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 499,597,935

LCM of Fractions 499/213,597/376,935/621 is 278539305

Given numbers has no common factors except 1. So, there LCM is their product i.e 278539305

Least Common Multiple of 499,597,935 with GCF Formula

Least Common Multiple of 499,597,935 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 499,597,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(499,597,935) = 1

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

GCF(499,597,935) x common factors =1 x 1 = 1

LCM(499,597,935) = ( 499 × 597 × 935 ) / 1

LCM(499,597,935) = 278539305 / 1

LCM(499,597,935) = 278539305


Lets's calculate GCF of 213,376,621

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 278539305/1

Therefore the LCM of Fractions 499/213,597/376,935/621 is 278539305

Greatest Common Factor of 213,376,621 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,376,621 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Greatest Common Factor

We found the factors 213,376,621 . The biggest common factor number is the GCF number.
So the greatest common factor 213,376,621 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 499/213, 597/376, 935/621

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 499/213, 597/376, 935/621?

Answer: LCM of Numerators as per given numbers 499/213, 597/376, 935/621 is

LCM of Numerators i.e. for 499,597,935 is 278539305

GCF of denominators i.e. for 213,376,621 is 1.

Thus, LCM of Fractions is 278539305.Finally, LCM of Fractions for 499/213, 597/376, 935/621 is 278539305.