Least Common Multiple of 89/986, 493/966, 918/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/986, 493/966, 918/102 quickly i.e. 1184679 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/986, 493/966, 918/102 is 1184679.

LCM(89/986, 493/966, 918/102) = 1184679

LCM of 89/986, 493/966, 918/102

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 89/986,493/966,918/102

Given numbers are 89/986,493/966,918/102

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 89,493,918

Least Common Multiple of Numerators i.e. LCM of 89,493,918 is 2369358.

GCF of Denominators means GCF of 986,966,102 as per the given fractions.

GCF of 986,966,102 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,493,918

LCM of Fractions 89/986,493/966,918/102 is 1184679

17 89, 493, 918
89, 29, 54

∴ So the LCM of the given numbers is 17 x 89 x 29 x 54 = 2369358

Least Common Multiple of 89,493,918 with GCF Formula

Least Common Multiple of 89,493,918 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 89,493,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,493,918) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(89,493,918) x common factors =1 x 17 = 17

LCM(89,493,918) = ( 89 × 493 × 918 ) / 17

LCM(89,493,918) = 40279086 / 17

LCM(89,493,918) = 2369358


Lets's calculate GCF of 986,966,102

2 986, 966, 102
493, 483, 51

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2369358/2

Therefore the LCM of Fractions 89/986,493/966,918/102 is 1184679

Greatest Common Factor of 986,966,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 986,966,102 By Matching Biggest Common Factor Method

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 986,966,102 . The biggest common factor number is the GCF number.
So the greatest common factor 986,966,102 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 89/986, 493/966, 918/102

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 89/986, 493/966, 918/102?

Answer: LCM of Numerators as per given numbers 89/986, 493/966, 918/102 is

LCM of Numerators i.e. for 89,493,918 is 2369358

GCF of denominators i.e. for 986,966,102 is 2.

Thus, LCM of Fractions is 1184679.Finally, LCM of Fractions for 89/986, 493/966, 918/102 is 1184679.