Least Common Multiple of 34/28, 188/21, 718/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/28, 188/21, 718/584 quickly i.e. 1147364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/28, 188/21, 718/584 is 1147364.

LCM(34/28, 188/21, 718/584) = 1147364

LCM of 34/28, 188/21, 718/584

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 34/28,188/21,718/584

Given numbers are 34/28,188/21,718/584

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 34,188,718

Least Common Multiple of Numerators i.e. LCM of 34,188,718 is 1147364.

GCF of Denominators means GCF of 28,21,584 as per the given fractions.

GCF of 28,21,584 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,188,718

LCM of Fractions 34/28,188/21,718/584 is 1147364

2 34, 188, 718
17, 94, 359

∴ So the LCM of the given numbers is 2 x 17 x 94 x 359 = 1147364

Least Common Multiple of 34,188,718 with GCF Formula

Least Common Multiple of 34,188,718 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 34,188,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,188,718) = 2

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

GCF(34,188,718) x common factors =2 x 2 = 4

LCM(34,188,718) = ( 34 × 188 × 718 ) / 4

LCM(34,188,718) = 4589456 / 4

LCM(34,188,718) = 1147364


Lets's calculate GCF of 28,21,584

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1147364/1

Therefore the LCM of Fractions 34/28,188/21,718/584 is 1147364

Greatest Common Factor of 28,21,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,21,584 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 28,21,584 . The biggest common factor number is the GCF number.
So the greatest common factor 28,21,584 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 34/28, 188/21, 718/584

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 34/28, 188/21, 718/584?

Answer: LCM of Numerators as per given numbers 34/28, 188/21, 718/584 is

LCM of Numerators i.e. for 34,188,718 is 1147364

GCF of denominators i.e. for 28,21,584 is 1.

Thus, LCM of Fractions is 1147364.Finally, LCM of Fractions for 34/28, 188/21, 718/584 is 1147364.