Least Common Multiple of 56/238, 33/610, 289/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/238, 33/610, 289/698 quickly i.e. 267036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/238, 33/610, 289/698 is 267036.

LCM(56/238, 33/610, 289/698) = 267036

LCM of 56/238, 33/610, 289/698

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 56/238,33/610,289/698

Given numbers are 56/238,33/610,289/698

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 56,33,289

Least Common Multiple of Numerators i.e. LCM of 56,33,289 is 534072.

GCF of Denominators means GCF of 238,610,698 as per the given fractions.

GCF of 238,610,698 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,33,289

LCM of Fractions 56/238,33/610,289/698 is 267036

Given numbers has no common factors except 1. So, there LCM is their product i.e 534072

Least Common Multiple of 56,33,289 with GCF Formula

Least Common Multiple of 56,33,289 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 56,33,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,33,289) = 1

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

GCF(56,33,289) x common factors =1 x 1 = 1

LCM(56,33,289) = ( 56 × 33 × 289 ) / 1

LCM(56,33,289) = 534072 / 1

LCM(56,33,289) = 534072


Lets's calculate GCF of 238,610,698

2 238, 610, 698
119, 305, 349

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 534072/2

Therefore the LCM of Fractions 56/238,33/610,289/698 is 267036

Greatest Common Factor of 238,610,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,610,698 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 238,610,698 . The biggest common factor number is the GCF number.
So the greatest common factor 238,610,698 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 56/238, 33/610, 289/698

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 56/238, 33/610, 289/698?

Answer: LCM of Numerators as per given numbers 56/238, 33/610, 289/698 is

LCM of Numerators i.e. for 56,33,289 is 534072

GCF of denominators i.e. for 238,610,698 is 2.

Thus, LCM of Fractions is 267036.Finally, LCM of Fractions for 56/238, 33/610, 289/698 is 267036.