Least Common Multiple of 147/556, 834/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 147/556, 834/776 quickly i.e. 40866/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 147/556, 834/776 is 40866/4.

LCM(147/556, 834/776) = 40866/4

LCM of 147/556, 834/776

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 147/556,834/776

Given numbers are 147/556,834/776

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 147,834

Least Common Multiple of Numerators i.e. LCM of 147,834 is 40866.

GCF of Denominators means GCF of 556,776 as per the given fractions.

GCF of 556,776 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 147,834

LCM of Fractions 147/556,834/776 is 40866/4

3 147, 834
49, 278

∴ So the LCM of the given numbers is 3 x 49 x 278 = 40866

Least Common Multiple of 147,834 with GCF Formula

Least Common Multiple of 147,834 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 147,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(147,834) = 3

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

GCF(147,834) x common factors =3 x 1 = 3

LCM(147,834) = ( 147 × 834 ) / 3

LCM(147,834) = 122598 / 3

LCM(147,834) = 40866


Lets's calculate GCF of 556,776

2 556, 776
2 278, 388
139, 194

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40866/4

Therefore the LCM of Fractions 147/556,834/776 is 40866/4

Greatest Common Factor of 556,776 By Matching Biggest Common Factor Method

Greatest Common Factor of 556,776 By Matching Biggest Common Factor Method

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Greatest Common Factor

We found the factors 556,776 . The biggest common factor number is the GCF number.
So the greatest common factor 556,776 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 147/556, 834/776

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 147/556, 834/776?

Answer: LCM of Numerators as per given numbers 147/556, 834/776 is

LCM of Numerators i.e. for 147,834 is 40866

GCF of denominators i.e. for 556,776 is 4.

Thus, LCM of Fractions is 40866/4.Finally, LCM of Fractions for 147/556, 834/776 is 40866/4.