Least Common Multiple of 93/562, 75/754, 509/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/562, 75/754, 509/274 quickly i.e. 1183425/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/562, 75/754, 509/274 is 1183425/2.

LCM(93/562, 75/754, 509/274) = 1183425/2

LCM of 93/562, 75/754, 509/274

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 93/562,75/754,509/274

Given numbers are 93/562,75/754,509/274

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 93,75,509

Least Common Multiple of Numerators i.e. LCM of 93,75,509 is 1183425.

GCF of Denominators means GCF of 562,754,274 as per the given fractions.

GCF of 562,754,274 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,75,509

LCM of Fractions 93/562,75/754,509/274 is 1183425/2

3 93, 75, 509
31, 25, 509

∴ So the LCM of the given numbers is 3 x 31 x 25 x 509 = 1183425

Least Common Multiple of 93,75,509 with GCF Formula

Least Common Multiple of 93,75,509 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 93,75,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,75,509) = 1

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

GCF(93,75,509) x common factors =1 x 3 = 3

LCM(93,75,509) = ( 93 × 75 × 509 ) / 3

LCM(93,75,509) = 3550275 / 3

LCM(93,75,509) = 1183425


Lets's calculate GCF of 562,754,274

2 562, 754, 274
281, 377, 137

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1183425/2

Therefore the LCM of Fractions 93/562,75/754,509/274 is 1183425/2

Greatest Common Factor of 562,754,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,754,274 By Matching Biggest Common Factor Method

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

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 562,754,274 . The biggest common factor number is the GCF number.
So the greatest common factor 562,754,274 is 2.


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 93/562, 75/754, 509/274

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 93/562, 75/754, 509/274?

Answer: LCM of Numerators as per given numbers 93/562, 75/754, 509/274 is

LCM of Numerators i.e. for 93,75,509 is 1183425

GCF of denominators i.e. for 562,754,274 is 2.

Thus, LCM of Fractions is 1183425/2.Finally, LCM of Fractions for 93/562, 75/754, 509/274 is 1183425/2.