Least Common Multiple of 66/598, 12/375, 659/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/598, 12/375, 659/102 quickly i.e. 86988 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/598, 12/375, 659/102 is 86988.

LCM(66/598, 12/375, 659/102) = 86988

LCM of 66/598, 12/375, 659/102

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 66/598,12/375,659/102

Given numbers are 66/598,12/375,659/102

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 66,12,659

Least Common Multiple of Numerators i.e. LCM of 66,12,659 is 86988.

GCF of Denominators means GCF of 598,375,102 as per the given fractions.

GCF of 598,375,102 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,12,659

LCM of Fractions 66/598,12/375,659/102 is 86988

2 66, 12, 659
3 33, 6, 659
11, 2, 659

∴ So the LCM of the given numbers is 2 x 3 x 11 x 2 x 659 = 86988

Least Common Multiple of 66,12,659 with GCF Formula

Least Common Multiple of 66,12,659 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 66,12,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,12,659) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(66,12,659) x common factors =1 x 6 = 6

LCM(66,12,659) = ( 66 × 12 × 659 ) / 6

LCM(66,12,659) = 521928 / 6

LCM(66,12,659) = 86988


Lets's calculate GCF of 598,375,102

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86988/1

Therefore the LCM of Fractions 66/598,12/375,659/102 is 86988

Greatest Common Factor of 598,375,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 598,375,102 By Matching Biggest Common Factor Method

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

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 598,375,102 . The biggest common factor number is the GCF number.
So the greatest common factor 598,375,102 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 66/598, 12/375, 659/102

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 66/598, 12/375, 659/102?

Answer: LCM of Numerators as per given numbers 66/598, 12/375, 659/102 is

LCM of Numerators i.e. for 66,12,659 is 86988

GCF of denominators i.e. for 598,375,102 is 1.

Thus, LCM of Fractions is 86988.Finally, LCM of Fractions for 66/598, 12/375, 659/102 is 86988.