Least Common Multiple of 114/277, 1589/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 114/277, 1589/916 quickly i.e. 181146 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 114/277, 1589/916 is 181146.

LCM(114/277, 1589/916) = 181146

LCM of 114/277, 1589/916

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 114/277,1589/916

Given numbers are 114/277,1589/916

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 114,1589

Least Common Multiple of Numerators i.e. LCM of 114,1589 is 181146.

GCF of Denominators means GCF of 277,916 as per the given fractions.

GCF of 277,916 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 114,1589

LCM of Fractions 114/277,1589/916 is 181146

Given numbers has no common factors except 1. So, there LCM is their product i.e 181146

Least Common Multiple of 114,1589 with GCF Formula

Least Common Multiple of 114,1589 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 114,1589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,1589) = 1

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

GCF(114,1589) x common factors =1 x 1 = 1

LCM(114,1589) = ( 114 × 1589 ) / 1

LCM(114,1589) = 181146 / 1

LCM(114,1589) = 181146


Lets's calculate GCF of 277,916

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181146/1

Therefore the LCM of Fractions 114/277,1589/916 is 181146

Greatest Common Factor of 277,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 277,916 By Matching Biggest Common Factor Method

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 277,916 . The biggest common factor number is the GCF number.
So the greatest common factor 277,916 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 114/277, 1589/916

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 114/277, 1589/916?

Answer: LCM of Numerators as per given numbers 114/277, 1589/916 is

LCM of Numerators i.e. for 114,1589 is 181146

GCF of denominators i.e. for 277,916 is 1.

Thus, LCM of Fractions is 181146.Finally, LCM of Fractions for 114/277, 1589/916 is 181146.