Least Common Multiple of 689/753, 538/764, 344/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 689/753, 538/764, 344/274 quickly i.e. 63757304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 689/753, 538/764, 344/274 is 63757304.

LCM(689/753, 538/764, 344/274) = 63757304

LCM of 689/753, 538/764, 344/274

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 689/753,538/764,344/274

Given numbers are 689/753,538/764,344/274

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 689,538,344

Least Common Multiple of Numerators i.e. LCM of 689,538,344 is 63757304.

GCF of Denominators means GCF of 753,764,274 as per the given fractions.

GCF of 753,764,274 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 689,538,344

LCM of Fractions 689/753,538/764,344/274 is 63757304

2 689, 538, 344
689, 269, 172

∴ So the LCM of the given numbers is 2 x 689 x 269 x 172 = 63757304

Least Common Multiple of 689,538,344 with GCF Formula

Least Common Multiple of 689,538,344 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 689,538,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,538,344) = 1

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

GCF(689,538,344) x common factors =1 x 2 = 2

LCM(689,538,344) = ( 689 × 538 × 344 ) / 2

LCM(689,538,344) = 127514608 / 2

LCM(689,538,344) = 63757304


Lets's calculate GCF of 753,764,274

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63757304/1

Therefore the LCM of Fractions 689/753,538/764,344/274 is 63757304

Greatest Common Factor of 753,764,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,764,274 By Matching Biggest Common Factor Method

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 753,764,274 . The biggest common factor number is the GCF number.
So the greatest common factor 753,764,274 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 689/753, 538/764, 344/274

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 689/753, 538/764, 344/274?

Answer: LCM of Numerators as per given numbers 689/753, 538/764, 344/274 is

LCM of Numerators i.e. for 689,538,344 is 63757304

GCF of denominators i.e. for 753,764,274 is 1.

Thus, LCM of Fractions is 63757304.Finally, LCM of Fractions for 689/753, 538/764, 344/274 is 63757304.