Least Common Multiple of 89/14, 19/277, 987/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/14, 19/277, 987/123 quickly i.e. 1669017 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/14, 19/277, 987/123 is 1669017.

LCM(89/14, 19/277, 987/123) = 1669017

LCM of 89/14, 19/277, 987/123

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 89/14,19/277,987/123

Given numbers are 89/14,19/277,987/123

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 89,19,987

Least Common Multiple of Numerators i.e. LCM of 89,19,987 is 1669017.

GCF of Denominators means GCF of 14,277,123 as per the given fractions.

GCF of 14,277,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,19,987

LCM of Fractions 89/14,19/277,987/123 is 1669017

Given numbers has no common factors except 1. So, there LCM is their product i.e 1669017

Least Common Multiple of 89,19,987 with GCF Formula

Least Common Multiple of 89,19,987 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 89,19,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,19,987) = 1

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

GCF(89,19,987) x common factors =1 x 1 = 1

LCM(89,19,987) = ( 89 × 19 × 987 ) / 1

LCM(89,19,987) = 1669017 / 1

LCM(89,19,987) = 1669017


Lets's calculate GCF of 14,277,123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1669017/1

Therefore the LCM of Fractions 89/14,19/277,987/123 is 1669017

Greatest Common Factor of 14,277,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,277,123 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 277

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

1,277

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 14,277,123 . The biggest common factor number is the GCF number.
So the greatest common factor 14,277,123 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 89/14, 19/277, 987/123

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 89/14, 19/277, 987/123?

Answer: LCM of Numerators as per given numbers 89/14, 19/277, 987/123 is

LCM of Numerators i.e. for 89,19,987 is 1669017

GCF of denominators i.e. for 14,277,123 is 1.

Thus, LCM of Fractions is 1669017.Finally, LCM of Fractions for 89/14, 19/277, 987/123 is 1669017.