Least Common Multiple of 78/299, 8506/9350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/299, 8506/9350 quickly i.e. 331734 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/299, 8506/9350 is 331734.

LCM(78/299, 8506/9350) = 331734

LCM of 78/299, 8506/9350

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 78/299,8506/9350

Given numbers are 78/299,8506/9350

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 78,8506

Least Common Multiple of Numerators i.e. LCM of 78,8506 is 331734.

GCF of Denominators means GCF of 299,9350 as per the given fractions.

GCF of 299,9350 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,8506

LCM of Fractions 78/299,8506/9350 is 331734

2 78, 8506
39, 4253

∴ So the LCM of the given numbers is 2 x 39 x 4253 = 331734

Least Common Multiple of 78,8506 with GCF Formula

Least Common Multiple of 78,8506 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 78,8506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,8506) = 2

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

GCF(78,8506) x common factors =2 x 1 = 2

LCM(78,8506) = ( 78 × 8506 ) / 2

LCM(78,8506) = 663468 / 2

LCM(78,8506) = 331734


Lets's calculate GCF of 299,9350

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 331734/1

Therefore the LCM of Fractions 78/299,8506/9350 is 331734

Greatest Common Factor of 299,9350 By Matching Biggest Common Factor Method

Greatest Common Factor of 299,9350 By Matching Biggest Common Factor Method

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 9350

List of positive integer factors of 9350 that divides 9350 without a remainder.

1,2,5,10,11,17,22,25,34,50,55,85,110,170,187,275,374,425,550,850,935,1870,4675,9350

Greatest Common Factor

We found the factors 299,9350 . The biggest common factor number is the GCF number.
So the greatest common factor 299,9350 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 78/299, 8506/9350

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 78/299, 8506/9350?

Answer: LCM of Numerators as per given numbers 78/299, 8506/9350 is

LCM of Numerators i.e. for 78,8506 is 331734

GCF of denominators i.e. for 299,9350 is 1.

Thus, LCM of Fractions is 331734.Finally, LCM of Fractions for 78/299, 8506/9350 is 331734.