Least Common Multiple of 270/278, 3947/4072

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 270/278, 3947/4072 quickly i.e. 532845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 270/278, 3947/4072 is 532845.

LCM(270/278, 3947/4072) = 532845

LCM of 270/278, 3947/4072

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 270/278,3947/4072

Given numbers are 270/278,3947/4072

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 270,3947

Least Common Multiple of Numerators i.e. LCM of 270,3947 is 1065690.

GCF of Denominators means GCF of 278,4072 as per the given fractions.

GCF of 278,4072 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 270,3947

LCM of Fractions 270/278,3947/4072 is 532845

Given numbers has no common factors except 1. So, there LCM is their product i.e 1065690

Least Common Multiple of 270,3947 with GCF Formula

Least Common Multiple of 270,3947 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 270,3947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,3947) = 1

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

GCF(270,3947) x common factors =1 x 1 = 1

LCM(270,3947) = ( 270 × 3947 ) / 1

LCM(270,3947) = 1065690 / 1

LCM(270,3947) = 1065690


Lets's calculate GCF of 278,4072

2 278, 4072
139, 2036

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1065690/2

Therefore the LCM of Fractions 270/278,3947/4072 is 532845

Greatest Common Factor of 278,4072 By Matching Biggest Common Factor Method

Greatest Common Factor of 278,4072 By Matching Biggest Common Factor Method

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 4072

List of positive integer factors of 4072 that divides 4072 without a remainder.

1,2,4,8,509,1018,2036,4072

Greatest Common Factor

We found the factors 278,4072 . The biggest common factor number is the GCF number.
So the greatest common factor 278,4072 is 2.


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 270/278, 3947/4072

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 270/278, 3947/4072?

Answer: LCM of Numerators as per given numbers 270/278, 3947/4072 is

LCM of Numerators i.e. for 270,3947 is 1065690

GCF of denominators i.e. for 278,4072 is 2.

Thus, LCM of Fractions is 532845.Finally, LCM of Fractions for 270/278, 3947/4072 is 532845.