Least Common Multiple of 67/154, 34/628, 224/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/154, 34/628, 224/588 quickly i.e. 127568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/154, 34/628, 224/588 is 127568.

LCM(67/154, 34/628, 224/588) = 127568

LCM of 67/154, 34/628, 224/588

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 67/154,34/628,224/588

Given numbers are 67/154,34/628,224/588

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 67,34,224

Least Common Multiple of Numerators i.e. LCM of 67,34,224 is 255136.

GCF of Denominators means GCF of 154,628,588 as per the given fractions.

GCF of 154,628,588 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,34,224

LCM of Fractions 67/154,34/628,224/588 is 127568

2 67, 34, 224
67, 17, 112

∴ So the LCM of the given numbers is 2 x 67 x 17 x 112 = 255136

Least Common Multiple of 67,34,224 with GCF Formula

Least Common Multiple of 67,34,224 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 67,34,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,34,224) = 1

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

GCF(67,34,224) x common factors =1 x 2 = 2

LCM(67,34,224) = ( 67 × 34 × 224 ) / 2

LCM(67,34,224) = 510272 / 2

LCM(67,34,224) = 255136


Lets's calculate GCF of 154,628,588

2 154, 628, 588
77, 314, 294

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255136/2

Therefore the LCM of Fractions 67/154,34/628,224/588 is 127568

Greatest Common Factor of 154,628,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,628,588 By Matching Biggest Common Factor Method

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Greatest Common Factor

We found the factors 154,628,588 . The biggest common factor number is the GCF number.
So the greatest common factor 154,628,588 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 67/154, 34/628, 224/588

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 67/154, 34/628, 224/588?

Answer: LCM of Numerators as per given numbers 67/154, 34/628, 224/588 is

LCM of Numerators i.e. for 67,34,224 is 255136

GCF of denominators i.e. for 154,628,588 is 2.

Thus, LCM of Fractions is 127568.Finally, LCM of Fractions for 67/154, 34/628, 224/588 is 127568.