Least Common Multiple of 575/316, 6380/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 575/316, 6380/494 quickly i.e. 366850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 575/316, 6380/494 is 366850.

LCM(575/316, 6380/494) = 366850

LCM of 575/316, 6380/494

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 575/316,6380/494

Given numbers are 575/316,6380/494

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 575,6380

Least Common Multiple of Numerators i.e. LCM of 575,6380 is 733700.

GCF of Denominators means GCF of 316,494 as per the given fractions.

GCF of 316,494 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 575,6380

LCM of Fractions 575/316,6380/494 is 366850

5 575, 6380
115, 1276

∴ So the LCM of the given numbers is 5 x 115 x 1276 = 733700

Least Common Multiple of 575,6380 with GCF Formula

Least Common Multiple of 575,6380 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 575,6380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,6380) = 5

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

GCF(575,6380) x common factors =5 x 1 = 5

LCM(575,6380) = ( 575 × 6380 ) / 5

LCM(575,6380) = 3668500 / 5

LCM(575,6380) = 733700


Lets's calculate GCF of 316,494

2 316, 494
158, 247

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 733700/2

Therefore the LCM of Fractions 575/316,6380/494 is 366850

Greatest Common Factor of 316,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 316,494 By Matching Biggest Common Factor Method

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 316,494 . The biggest common factor number is the GCF number.
So the greatest common factor 316,494 is 2.


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 575/316, 6380/494

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 575/316, 6380/494?

Answer: LCM of Numerators as per given numbers 575/316, 6380/494 is

LCM of Numerators i.e. for 575,6380 is 733700

GCF of denominators i.e. for 316,494 is 2.

Thus, LCM of Fractions is 366850.Finally, LCM of Fractions for 575/316, 6380/494 is 366850.