Least Common Multiple of 281/67, 748/98, 224/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 281/67, 748/98, 224/590 quickly i.e. 11770528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 281/67, 748/98, 224/590 is 11770528.

LCM(281/67, 748/98, 224/590) = 11770528

LCM of 281/67, 748/98, 224/590

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 281/67,748/98,224/590

Given numbers are 281/67,748/98,224/590

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 281,748,224

Least Common Multiple of Numerators i.e. LCM of 281,748,224 is 11770528.

GCF of Denominators means GCF of 67,98,590 as per the given fractions.

GCF of 67,98,590 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 281,748,224

LCM of Fractions 281/67,748/98,224/590 is 11770528

2 281, 748, 224
2 281, 374, 112
281, 187, 56

∴ So the LCM of the given numbers is 2 x 2 x 281 x 187 x 56 = 11770528

Least Common Multiple of 281,748,224 with GCF Formula

Least Common Multiple of 281,748,224 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 281,748,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(281,748,224) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(281,748,224) x common factors =1 x 4 = 4

LCM(281,748,224) = ( 281 × 748 × 224 ) / 4

LCM(281,748,224) = 47082112 / 4

LCM(281,748,224) = 11770528


Lets's calculate GCF of 67,98,590

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11770528/1

Therefore the LCM of Fractions 281/67,748/98,224/590 is 11770528

Greatest Common Factor of 67,98,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,98,590 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 67,98,590 . The biggest common factor number is the GCF number.
So the greatest common factor 67,98,590 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 281/67, 748/98, 224/590

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 281/67, 748/98, 224/590?

Answer: LCM of Numerators as per given numbers 281/67, 748/98, 224/590 is

LCM of Numerators i.e. for 281,748,224 is 11770528

GCF of denominators i.e. for 67,98,590 is 1.

Thus, LCM of Fractions is 11770528.Finally, LCM of Fractions for 281/67, 748/98, 224/590 is 11770528.