Least Common Multiple of 735/712, 711/251, 166/643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 735/712, 711/251, 166/643 quickly i.e. 28916370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 735/712, 711/251, 166/643 is 28916370.

LCM(735/712, 711/251, 166/643) = 28916370

LCM of 735/712, 711/251, 166/643

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 735/712,711/251,166/643

Given numbers are 735/712,711/251,166/643

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 735,711,166

Least Common Multiple of Numerators i.e. LCM of 735,711,166 is 28916370.

GCF of Denominators means GCF of 712,251,643 as per the given fractions.

GCF of 712,251,643 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 735,711,166

LCM of Fractions 735/712,711/251,166/643 is 28916370

3 735, 711, 166
245, 237, 166

∴ So the LCM of the given numbers is 3 x 245 x 237 x 166 = 28916370

Least Common Multiple of 735,711,166 with GCF Formula

Least Common Multiple of 735,711,166 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 735,711,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,711,166) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(735,711,166) x common factors =1 x 3 = 3

LCM(735,711,166) = ( 735 × 711 × 166 ) / 3

LCM(735,711,166) = 86749110 / 3

LCM(735,711,166) = 28916370


Lets's calculate GCF of 712,251,643

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28916370/1

Therefore the LCM of Fractions 735/712,711/251,166/643 is 28916370

Greatest Common Factor of 712,251,643 By Matching Biggest Common Factor Method

Greatest Common Factor of 712,251,643 By Matching Biggest Common Factor Method

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Greatest Common Factor

We found the factors 712,251,643 . The biggest common factor number is the GCF number.
So the greatest common factor 712,251,643 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 735/712, 711/251, 166/643

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 735/712, 711/251, 166/643?

Answer: LCM of Numerators as per given numbers 735/712, 711/251, 166/643 is

LCM of Numerators i.e. for 735,711,166 is 28916370

GCF of denominators i.e. for 712,251,643 is 1.

Thus, LCM of Fractions is 28916370.Finally, LCM of Fractions for 735/712, 711/251, 166/643 is 28916370.