Least Common Multiple of 722/665, 276/985, 187/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 722/665, 276/985, 187/334 quickly i.e. 18631932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 722/665, 276/985, 187/334 is 18631932.

LCM(722/665, 276/985, 187/334) = 18631932

LCM of 722/665, 276/985, 187/334

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 722/665,276/985,187/334

Given numbers are 722/665,276/985,187/334

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 722,276,187

Least Common Multiple of Numerators i.e. LCM of 722,276,187 is 18631932.

GCF of Denominators means GCF of 665,985,334 as per the given fractions.

GCF of 665,985,334 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 722,276,187

LCM of Fractions 722/665,276/985,187/334 is 18631932

2 722, 276, 187
361, 138, 187

∴ So the LCM of the given numbers is 2 x 361 x 138 x 187 = 18631932

Least Common Multiple of 722,276,187 with GCF Formula

Least Common Multiple of 722,276,187 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 722,276,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,276,187) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(722,276,187) x common factors =1 x 2 = 2

LCM(722,276,187) = ( 722 × 276 × 187 ) / 2

LCM(722,276,187) = 37263864 / 2

LCM(722,276,187) = 18631932


Lets's calculate GCF of 665,985,334

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18631932/1

Therefore the LCM of Fractions 722/665,276/985,187/334 is 18631932

Greatest Common Factor of 665,985,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 665,985,334 By Matching Biggest Common Factor Method

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 665,985,334 . The biggest common factor number is the GCF number.
So the greatest common factor 665,985,334 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 722/665, 276/985, 187/334

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 722/665, 276/985, 187/334?

Answer: LCM of Numerators as per given numbers 722/665, 276/985, 187/334 is

LCM of Numerators i.e. for 722,276,187 is 18631932

GCF of denominators i.e. for 665,985,334 is 1.

Thus, LCM of Fractions is 18631932.Finally, LCM of Fractions for 722/665, 276/985, 187/334 is 18631932.