Least Common Multiple of 614/28, 436/54, 210/212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 614/28, 436/54, 210/212 quickly i.e. 7027230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 614/28, 436/54, 210/212 is 7027230.

LCM(614/28, 436/54, 210/212) = 7027230

LCM of 614/28, 436/54, 210/212

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 614/28,436/54,210/212

Given numbers are 614/28,436/54,210/212

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 614,436,210

Least Common Multiple of Numerators i.e. LCM of 614,436,210 is 14054460.

GCF of Denominators means GCF of 28,54,212 as per the given fractions.

GCF of 28,54,212 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 614,436,210

LCM of Fractions 614/28,436/54,210/212 is 7027230

2 614, 436, 210
307, 218, 105

∴ So the LCM of the given numbers is 2 x 307 x 218 x 105 = 14054460

Least Common Multiple of 614,436,210 with GCF Formula

Least Common Multiple of 614,436,210 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 614,436,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,436,210) = 2

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

GCF(614,436,210) x common factors =2 x 2 = 4

LCM(614,436,210) = ( 614 × 436 × 210 ) / 4

LCM(614,436,210) = 56217840 / 4

LCM(614,436,210) = 14054460


Lets's calculate GCF of 28,54,212

2 28, 54, 212
14, 27, 106

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14054460/2

Therefore the LCM of Fractions 614/28,436/54,210/212 is 7027230

Greatest Common Factor of 28,54,212 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,54,212 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 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Greatest Common Factor

We found the factors 28,54,212 . The biggest common factor number is the GCF number.
So the greatest common factor 28,54,212 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 614/28, 436/54, 210/212

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 614/28, 436/54, 210/212?

Answer: LCM of Numerators as per given numbers 614/28, 436/54, 210/212 is

LCM of Numerators i.e. for 614,436,210 is 14054460

GCF of denominators i.e. for 28,54,212 is 2.

Thus, LCM of Fractions is 7027230.Finally, LCM of Fractions for 614/28, 436/54, 210/212 is 7027230.