Least Common Multiple of 813/120, 317/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 813/120, 317/350 quickly i.e. 257721/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 813/120, 317/350 is 257721/10.

LCM(813/120, 317/350) = 257721/10

LCM of 813/120, 317/350

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 813/120,317/350

Given numbers are 813/120,317/350

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 813,317

Least Common Multiple of Numerators i.e. LCM of 813,317 is 257721.

GCF of Denominators means GCF of 120,350 as per the given fractions.

GCF of 120,350 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 813,317

LCM of Fractions 813/120,317/350 is 257721/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 257721

Least Common Multiple of 813,317 with GCF Formula

Least Common Multiple of 813,317 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 813,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,317) = 1

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

GCF(813,317) x common factors =1 x 1 = 1

LCM(813,317) = ( 813 × 317 ) / 1

LCM(813,317) = 257721 / 1

LCM(813,317) = 257721


Lets's calculate GCF of 120,350

2 120, 350
5 60, 175
12, 35

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 257721/10

Therefore the LCM of Fractions 813/120,317/350 is 257721/10

Greatest Common Factor of 120,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,350 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 120,350 . The biggest common factor number is the GCF number.
So the greatest common factor 120,350 is 10.


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 813/120, 317/350

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 813/120, 317/350?

Answer: LCM of Numerators as per given numbers 813/120, 317/350 is

LCM of Numerators i.e. for 813,317 is 257721

GCF of denominators i.e. for 120,350 is 10.

Thus, LCM of Fractions is 257721/10.Finally, LCM of Fractions for 813/120, 317/350 is 257721/10.