Least Common Multiple of 278/75, 271/6998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 278/75, 271/6998 quickly i.e. 75338 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 278/75, 271/6998 is 75338.

LCM(278/75, 271/6998) = 75338

LCM of 278/75, 271/6998

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 278/75,271/6998

Given numbers are 278/75,271/6998

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 278,271

Least Common Multiple of Numerators i.e. LCM of 278,271 is 75338.

GCF of Denominators means GCF of 75,6998 as per the given fractions.

GCF of 75,6998 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 278,271

LCM of Fractions 278/75,271/6998 is 75338

Given numbers has no common factors except 1. So, there LCM is their product i.e 75338

Least Common Multiple of 278,271 with GCF Formula

Least Common Multiple of 278,271 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 278,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,271) = 1

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

GCF(278,271) x common factors =1 x 1 = 1

LCM(278,271) = ( 278 × 271 ) / 1

LCM(278,271) = 75338 / 1

LCM(278,271) = 75338


Lets's calculate GCF of 75,6998

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75338/1

Therefore the LCM of Fractions 278/75,271/6998 is 75338

Greatest Common Factor of 75,6998 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,6998 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 6998

List of positive integer factors of 6998 that divides 6998 without a remainder.

1,2,3499,6998

Greatest Common Factor

We found the factors 75,6998 . The biggest common factor number is the GCF number.
So the greatest common factor 75,6998 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 278/75, 271/6998

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 278/75, 271/6998?

Answer: LCM of Numerators as per given numbers 278/75, 271/6998 is

LCM of Numerators i.e. for 278,271 is 75338

GCF of denominators i.e. for 75,6998 is 1.

Thus, LCM of Fractions is 75338.Finally, LCM of Fractions for 278/75, 271/6998 is 75338.