Least Common Multiple of 11/158, 677/580, 556/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/158, 677/580, 556/462 quickly i.e. 2070266 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/158, 677/580, 556/462 is 2070266.

LCM(11/158, 677/580, 556/462) = 2070266

LCM of 11/158, 677/580, 556/462

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 11/158,677/580,556/462

Given numbers are 11/158,677/580,556/462

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 11,677,556

Least Common Multiple of Numerators i.e. LCM of 11,677,556 is 4140532.

GCF of Denominators means GCF of 158,580,462 as per the given fractions.

GCF of 158,580,462 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,677,556

LCM of Fractions 11/158,677/580,556/462 is 2070266

Given numbers has no common factors except 1. So, there LCM is their product i.e 4140532

Least Common Multiple of 11,677,556 with GCF Formula

Least Common Multiple of 11,677,556 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 11,677,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,677,556) = 1

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

GCF(11,677,556) x common factors =1 x 1 = 1

LCM(11,677,556) = ( 11 × 677 × 556 ) / 1

LCM(11,677,556) = 4140532 / 1

LCM(11,677,556) = 4140532


Lets's calculate GCF of 158,580,462

2 158, 580, 462
79, 290, 231

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4140532/2

Therefore the LCM of Fractions 11/158,677/580,556/462 is 2070266

Greatest Common Factor of 158,580,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 158,580,462 By Matching Biggest Common Factor Method

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 158,580,462 . The biggest common factor number is the GCF number.
So the greatest common factor 158,580,462 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 11/158, 677/580, 556/462

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 11/158, 677/580, 556/462?

Answer: LCM of Numerators as per given numbers 11/158, 677/580, 556/462 is

LCM of Numerators i.e. for 11,677,556 is 4140532

GCF of denominators i.e. for 158,580,462 is 2.

Thus, LCM of Fractions is 2070266.Finally, LCM of Fractions for 11/158, 677/580, 556/462 is 2070266.