Least Common Multiple of 889/82, 157/10, 355/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 889/82, 157/10, 355/264 quickly i.e. 49548415/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 889/82, 157/10, 355/264 is 49548415/2.

LCM(889/82, 157/10, 355/264) = 49548415/2

LCM of 889/82, 157/10, 355/264

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 889/82,157/10,355/264

Given numbers are 889/82,157/10,355/264

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 889,157,355

Least Common Multiple of Numerators i.e. LCM of 889,157,355 is 49548415.

GCF of Denominators means GCF of 82,10,264 as per the given fractions.

GCF of 82,10,264 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 889,157,355

LCM of Fractions 889/82,157/10,355/264 is 49548415/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 49548415

Least Common Multiple of 889,157,355 with GCF Formula

Least Common Multiple of 889,157,355 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 889,157,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(889,157,355) = 1

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

GCF(889,157,355) x common factors =1 x 1 = 1

LCM(889,157,355) = ( 889 × 157 × 355 ) / 1

LCM(889,157,355) = 49548415 / 1

LCM(889,157,355) = 49548415


Lets's calculate GCF of 82,10,264

2 82, 10, 264
41, 5, 132

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49548415/2

Therefore the LCM of Fractions 889/82,157/10,355/264 is 49548415/2

Greatest Common Factor of 82,10,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,10,264 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 82,10,264 . The biggest common factor number is the GCF number.
So the greatest common factor 82,10,264 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 889/82, 157/10, 355/264

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 889/82, 157/10, 355/264?

Answer: LCM of Numerators as per given numbers 889/82, 157/10, 355/264 is

LCM of Numerators i.e. for 889,157,355 is 49548415

GCF of denominators i.e. for 82,10,264 is 2.

Thus, LCM of Fractions is 49548415/2.Finally, LCM of Fractions for 889/82, 157/10, 355/264 is 49548415/2.