Least Common Multiple of 36/278, 649/937, 676/533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/278, 649/937, 676/533 quickly i.e. 3948516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/278, 649/937, 676/533 is 3948516.

LCM(36/278, 649/937, 676/533) = 3948516

LCM of 36/278, 649/937, 676/533

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 36/278,649/937,676/533

Given numbers are 36/278,649/937,676/533

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 36,649,676

Least Common Multiple of Numerators i.e. LCM of 36,649,676 is 3948516.

GCF of Denominators means GCF of 278,937,533 as per the given fractions.

GCF of 278,937,533 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,649,676

LCM of Fractions 36/278,649/937,676/533 is 3948516

2 36, 649, 676
2 18, 649, 338
9, 649, 169

∴ So the LCM of the given numbers is 2 x 2 x 9 x 649 x 169 = 3948516

Least Common Multiple of 36,649,676 with GCF Formula

Least Common Multiple of 36,649,676 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 36,649,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,649,676) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(36,649,676) x common factors =1 x 4 = 4

LCM(36,649,676) = ( 36 × 649 × 676 ) / 4

LCM(36,649,676) = 15794064 / 4

LCM(36,649,676) = 3948516


Lets's calculate GCF of 278,937,533

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3948516/1

Therefore the LCM of Fractions 36/278,649/937,676/533 is 3948516

Greatest Common Factor of 278,937,533 By Matching Biggest Common Factor Method

Greatest Common Factor of 278,937,533 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 937

List of positive integer factors of 937 that divides 937 without a remainder.

1,937

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Greatest Common Factor

We found the factors 278,937,533 . The biggest common factor number is the GCF number.
So the greatest common factor 278,937,533 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 36/278, 649/937, 676/533

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 36/278, 649/937, 676/533?

Answer: LCM of Numerators as per given numbers 36/278, 649/937, 676/533 is

LCM of Numerators i.e. for 36,649,676 is 3948516

GCF of denominators i.e. for 278,937,533 is 1.

Thus, LCM of Fractions is 3948516.Finally, LCM of Fractions for 36/278, 649/937, 676/533 is 3948516.