Least Common Multiple of 66/873, 51/835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 66/873, 51/835 quickly i.e. 1122 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/873, 51/835 is 1122.

LCM(66/873, 51/835) = 1122

LCM of 66/873, 51/835

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 66/873,51/835

Given numbers are 66/873,51/835

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 66,51

Least Common Multiple of Numerators i.e. LCM of 66,51 is 1122.

GCF of Denominators means GCF of 873,835 as per the given fractions.

GCF of 873,835 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,51

LCM of Fractions 66/873,51/835 is 1122

3 66, 51
22, 17

∴ So the LCM of the given numbers is 3 x 22 x 17 = 1122

Least Common Multiple of 66,51 with GCF Formula

Least Common Multiple of 66,51 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 66,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,51) = 3

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

GCF(66,51) x common factors =3 x 1 = 3

LCM(66,51) = ( 66 × 51 ) / 3

LCM(66,51) = 3366 / 3

LCM(66,51) = 1122


Lets's calculate GCF of 873,835

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1122/1

Therefore the LCM of Fractions 66/873,51/835 is 1122

Greatest Common Factor of 873,835 By Matching Biggest Common Factor Method

Greatest Common Factor of 873,835 By Matching Biggest Common Factor Method

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Greatest Common Factor

We found the factors 873,835 . The biggest common factor number is the GCF number.
So the greatest common factor 873,835 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 66/873, 51/835

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 66/873, 51/835?

Answer: LCM of Numerators as per given numbers 66/873, 51/835 is

LCM of Numerators i.e. for 66,51 is 1122

GCF of denominators i.e. for 873,835 is 1.

Thus, LCM of Fractions is 1122.Finally, LCM of Fractions for 66/873, 51/835 is 1122.