Least Common Multiple of 861/93, 258/15, 696/701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 861/93, 258/15, 696/701 quickly i.e. 8589336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 861/93, 258/15, 696/701 is 8589336.

LCM(861/93, 258/15, 696/701) = 8589336

LCM of 861/93, 258/15, 696/701

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 861/93,258/15,696/701

Given numbers are 861/93,258/15,696/701

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 861,258,696

Least Common Multiple of Numerators i.e. LCM of 861,258,696 is 8589336.

GCF of Denominators means GCF of 93,15,701 as per the given fractions.

GCF of 93,15,701 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 861,258,696

LCM of Fractions 861/93,258/15,696/701 is 8589336

2 861, 258, 696
3 861, 129, 348
287, 43, 116

∴ So the LCM of the given numbers is 2 x 3 x 287 x 43 x 116 = 8589336

Least Common Multiple of 861,258,696 with GCF Formula

Least Common Multiple of 861,258,696 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 861,258,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(861,258,696) = 3

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

GCF(861,258,696) x common factors =3 x 6 = 18

LCM(861,258,696) = ( 861 × 258 × 696 ) / 18

LCM(861,258,696) = 154608048 / 18

LCM(861,258,696) = 8589336


Lets's calculate GCF of 93,15,701

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8589336/1

Therefore the LCM of Fractions 861/93,258/15,696/701 is 8589336

Greatest Common Factor of 93,15,701 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,15,701 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Greatest Common Factor

We found the factors 93,15,701 . The biggest common factor number is the GCF number.
So the greatest common factor 93,15,701 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 861/93, 258/15, 696/701

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 861/93, 258/15, 696/701?

Answer: LCM of Numerators as per given numbers 861/93, 258/15, 696/701 is

LCM of Numerators i.e. for 861,258,696 is 8589336

GCF of denominators i.e. for 93,15,701 is 1.

Thus, LCM of Fractions is 8589336.Finally, LCM of Fractions for 861/93, 258/15, 696/701 is 8589336.