Least Common Multiple of 19/21, 748/10, 172/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/21, 748/10, 172/716 quickly i.e. 611116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/21, 748/10, 172/716 is 611116.

LCM(19/21, 748/10, 172/716) = 611116

LCM of 19/21, 748/10, 172/716

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 19/21,748/10,172/716

Given numbers are 19/21,748/10,172/716

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 19,748,172

Least Common Multiple of Numerators i.e. LCM of 19,748,172 is 611116.

GCF of Denominators means GCF of 21,10,716 as per the given fractions.

GCF of 21,10,716 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,748,172

LCM of Fractions 19/21,748/10,172/716 is 611116

2 19, 748, 172
2 19, 374, 86
19, 187, 43

∴ So the LCM of the given numbers is 2 x 2 x 19 x 187 x 43 = 611116

Least Common Multiple of 19,748,172 with GCF Formula

Least Common Multiple of 19,748,172 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 19,748,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,748,172) = 1

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

GCF(19,748,172) x common factors =1 x 4 = 4

LCM(19,748,172) = ( 19 × 748 × 172 ) / 4

LCM(19,748,172) = 2444464 / 4

LCM(19,748,172) = 611116


Lets's calculate GCF of 21,10,716

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 611116/1

Therefore the LCM of Fractions 19/21,748/10,172/716 is 611116

Greatest Common Factor of 21,10,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,10,716 By Matching Biggest Common Factor Method

Factors of 21

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

1,3,7,21

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 21,10,716 . The biggest common factor number is the GCF number.
So the greatest common factor 21,10,716 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 19/21, 748/10, 172/716

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 19/21, 748/10, 172/716?

Answer: LCM of Numerators as per given numbers 19/21, 748/10, 172/716 is

LCM of Numerators i.e. for 19,748,172 is 611116

GCF of denominators i.e. for 21,10,716 is 1.

Thus, LCM of Fractions is 611116.Finally, LCM of Fractions for 19/21, 748/10, 172/716 is 611116.