Least Common Multiple of 702/23, 8678/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 702/23, 8678/314 quickly i.e. 3045978 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 702/23, 8678/314 is 3045978.

LCM(702/23, 8678/314) = 3045978

LCM of 702/23, 8678/314

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 702/23,8678/314

Given numbers are 702/23,8678/314

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 702,8678

Least Common Multiple of Numerators i.e. LCM of 702,8678 is 3045978.

GCF of Denominators means GCF of 23,314 as per the given fractions.

GCF of 23,314 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 702,8678

LCM of Fractions 702/23,8678/314 is 3045978

2 702, 8678
351, 4339

∴ So the LCM of the given numbers is 2 x 351 x 4339 = 3045978

Least Common Multiple of 702,8678 with GCF Formula

Least Common Multiple of 702,8678 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 702,8678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(702,8678) = 2

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

GCF(702,8678) x common factors =2 x 1 = 2

LCM(702,8678) = ( 702 × 8678 ) / 2

LCM(702,8678) = 6091956 / 2

LCM(702,8678) = 3045978


Lets's calculate GCF of 23,314

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3045978/1

Therefore the LCM of Fractions 702/23,8678/314 is 3045978

Greatest Common Factor of 23,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,314 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 23,314 . The biggest common factor number is the GCF number.
So the greatest common factor 23,314 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 702/23, 8678/314

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 702/23, 8678/314?

Answer: LCM of Numerators as per given numbers 702/23, 8678/314 is

LCM of Numerators i.e. for 702,8678 is 3045978

GCF of denominators i.e. for 23,314 is 1.

Thus, LCM of Fractions is 3045978.Finally, LCM of Fractions for 702/23, 8678/314 is 3045978.