Least Common Multiple of 313/77, 615/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 313/77, 615/800 quickly i.e. 192495 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 313/77, 615/800 is 192495.

LCM(313/77, 615/800) = 192495

LCM of 313/77, 615/800

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 313/77,615/800

Given numbers are 313/77,615/800

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 313,615

Least Common Multiple of Numerators i.e. LCM of 313,615 is 192495.

GCF of Denominators means GCF of 77,800 as per the given fractions.

GCF of 77,800 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 313,615

LCM of Fractions 313/77,615/800 is 192495

Given numbers has no common factors except 1. So, there LCM is their product i.e 192495

Least Common Multiple of 313,615 with GCF Formula

Least Common Multiple of 313,615 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 313,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(313,615) = 1

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

GCF(313,615) x common factors =1 x 1 = 1

LCM(313,615) = ( 313 × 615 ) / 1

LCM(313,615) = 192495 / 1

LCM(313,615) = 192495


Lets's calculate GCF of 77,800

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 192495/1

Therefore the LCM of Fractions 313/77,615/800 is 192495

Greatest Common Factor of 77,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,800 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 77,800 . The biggest common factor number is the GCF number.
So the greatest common factor 77,800 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 313/77, 615/800

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 313/77, 615/800?

Answer: LCM of Numerators as per given numbers 313/77, 615/800 is

LCM of Numerators i.e. for 313,615 is 192495

GCF of denominators i.e. for 77,800 is 1.

Thus, LCM of Fractions is 192495.Finally, LCM of Fractions for 313/77, 615/800 is 192495.