Least Common Multiple of 19/28, 726/96, 970/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/28, 726/96, 970/646 quickly i.e. 3345045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/28, 726/96, 970/646 is 3345045.

LCM(19/28, 726/96, 970/646) = 3345045

LCM of 19/28, 726/96, 970/646

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 19/28,726/96,970/646

Given numbers are 19/28,726/96,970/646

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 19,726,970

Least Common Multiple of Numerators i.e. LCM of 19,726,970 is 6690090.

GCF of Denominators means GCF of 28,96,646 as per the given fractions.

GCF of 28,96,646 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,726,970

LCM of Fractions 19/28,726/96,970/646 is 3345045

2 19, 726, 970
19, 363, 485

∴ So the LCM of the given numbers is 2 x 19 x 363 x 485 = 6690090

Least Common Multiple of 19,726,970 with GCF Formula

Least Common Multiple of 19,726,970 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 19,726,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,726,970) = 1

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

GCF(19,726,970) x common factors =1 x 2 = 2

LCM(19,726,970) = ( 19 × 726 × 970 ) / 2

LCM(19,726,970) = 13380180 / 2

LCM(19,726,970) = 6690090


Lets's calculate GCF of 28,96,646

2 28, 96, 646
14, 48, 323

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6690090/2

Therefore the LCM of Fractions 19/28,726/96,970/646 is 3345045

Greatest Common Factor of 28,96,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,96,646 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 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 28,96,646 . The biggest common factor number is the GCF number.
So the greatest common factor 28,96,646 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 19/28, 726/96, 970/646

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 19/28, 726/96, 970/646?

Answer: LCM of Numerators as per given numbers 19/28, 726/96, 970/646 is

LCM of Numerators i.e. for 19,726,970 is 6690090

GCF of denominators i.e. for 28,96,646 is 2.

Thus, LCM of Fractions is 3345045.Finally, LCM of Fractions for 19/28, 726/96, 970/646 is 3345045.