Least Common Multiple of 7148/175, 8667/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7148/175, 8667/314 quickly i.e. 61951716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7148/175, 8667/314 is 61951716.

LCM(7148/175, 8667/314) = 61951716

LCM of 7148/175, 8667/314

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 7148/175,8667/314

Given numbers are 7148/175,8667/314

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 7148,8667

Least Common Multiple of Numerators i.e. LCM of 7148,8667 is 61951716.

GCF of Denominators means GCF of 175,314 as per the given fractions.

GCF of 175,314 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7148,8667

LCM of Fractions 7148/175,8667/314 is 61951716

Given numbers has no common factors except 1. So, there LCM is their product i.e 61951716

Least Common Multiple of 7148,8667 with GCF Formula

Least Common Multiple of 7148,8667 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 7148,8667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7148,8667) = 1

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

GCF(7148,8667) x common factors =1 x 1 = 1

LCM(7148,8667) = ( 7148 × 8667 ) / 1

LCM(7148,8667) = 61951716 / 1

LCM(7148,8667) = 61951716


Lets's calculate GCF of 175,314

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61951716/1

Therefore the LCM of Fractions 7148/175,8667/314 is 61951716

Greatest Common Factor of 175,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 175,314 By Matching Biggest Common Factor Method

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

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 175,314 . The biggest common factor number is the GCF number.
So the greatest common factor 175,314 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 7148/175, 8667/314

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 7148/175, 8667/314?

Answer: LCM of Numerators as per given numbers 7148/175, 8667/314 is

LCM of Numerators i.e. for 7148,8667 is 61951716

GCF of denominators i.e. for 175,314 is 1.

Thus, LCM of Fractions is 61951716.Finally, LCM of Fractions for 7148/175, 8667/314 is 61951716.