Least Common Multiple of 21/15, 814/49, 148/439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/15, 814/49, 148/439 quickly i.e. 34188 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/15, 814/49, 148/439 is 34188.

LCM(21/15, 814/49, 148/439) = 34188

LCM of 21/15, 814/49, 148/439

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 21/15,814/49,148/439

Given numbers are 21/15,814/49,148/439

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 21,814,148

Least Common Multiple of Numerators i.e. LCM of 21,814,148 is 34188.

GCF of Denominators means GCF of 15,49,439 as per the given fractions.

GCF of 15,49,439 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,814,148

LCM of Fractions 21/15,814/49,148/439 is 34188

2 21, 814, 148
37 21, 407, 74
21, 11, 2

∴ So the LCM of the given numbers is 2 x 37 x 21 x 11 x 2 = 34188

Least Common Multiple of 21,814,148 with GCF Formula

Least Common Multiple of 21,814,148 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 21,814,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,814,148) = 1

common factors(in case of two or more numbers have common factors) = 74

GCF(21,814,148) x common factors =1 x 74 = 74

LCM(21,814,148) = ( 21 × 814 × 148 ) / 74

LCM(21,814,148) = 2529912 / 74

LCM(21,814,148) = 34188


Lets's calculate GCF of 15,49,439

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34188/1

Therefore the LCM of Fractions 21/15,814/49,148/439 is 34188

Greatest Common Factor of 15,49,439 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,49,439 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Greatest Common Factor

We found the factors 15,49,439 . The biggest common factor number is the GCF number.
So the greatest common factor 15,49,439 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 21/15, 814/49, 148/439

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 21/15, 814/49, 148/439?

Answer: LCM of Numerators as per given numbers 21/15, 814/49, 148/439 is

LCM of Numerators i.e. for 21,814,148 is 34188

GCF of denominators i.e. for 15,49,439 is 1.

Thus, LCM of Fractions is 34188.Finally, LCM of Fractions for 21/15, 814/49, 148/439 is 34188.