Least Common Multiple of 88/186, 57/823, 342/851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/186, 57/823, 342/851 quickly i.e. 15048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/186, 57/823, 342/851 is 15048.

LCM(88/186, 57/823, 342/851) = 15048

LCM of 88/186, 57/823, 342/851

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 88/186,57/823,342/851

Given numbers are 88/186,57/823,342/851

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 88,57,342

Least Common Multiple of Numerators i.e. LCM of 88,57,342 is 15048.

GCF of Denominators means GCF of 186,823,851 as per the given fractions.

GCF of 186,823,851 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,57,342

LCM of Fractions 88/186,57/823,342/851 is 15048

2 88, 57, 342
3 44, 57, 171
19 44, 19, 57
44, 1, 3

∴ So the LCM of the given numbers is 2 x 3 x 19 x 44 x 1 x 3 = 15048

Least Common Multiple of 88,57,342 with GCF Formula

Least Common Multiple of 88,57,342 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 88,57,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,57,342) = 1

common factors(in case of two or more numbers have common factors) = 114

GCF(88,57,342) x common factors =1 x 114 = 114

LCM(88,57,342) = ( 88 × 57 × 342 ) / 114

LCM(88,57,342) = 1715472 / 114

LCM(88,57,342) = 15048


Lets's calculate GCF of 186,823,851

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15048/1

Therefore the LCM of Fractions 88/186,57/823,342/851 is 15048

Greatest Common Factor of 186,823,851 By Matching Biggest Common Factor Method

Greatest Common Factor of 186,823,851 By Matching Biggest Common Factor Method

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Greatest Common Factor

We found the factors 186,823,851 . The biggest common factor number is the GCF number.
So the greatest common factor 186,823,851 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 88/186, 57/823, 342/851

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 88/186, 57/823, 342/851?

Answer: LCM of Numerators as per given numbers 88/186, 57/823, 342/851 is

LCM of Numerators i.e. for 88,57,342 is 15048

GCF of denominators i.e. for 186,823,851 is 1.

Thus, LCM of Fractions is 15048.Finally, LCM of Fractions for 88/186, 57/823, 342/851 is 15048.