Least Common Multiple of 19/852, 34/596, 594/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/852, 34/596, 594/696 quickly i.e. 191862/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/852, 34/596, 594/696 is 191862/4.

LCM(19/852, 34/596, 594/696) = 191862/4

LCM of 19/852, 34/596, 594/696

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 19/852,34/596,594/696

Given numbers are 19/852,34/596,594/696

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 19,34,594

Least Common Multiple of Numerators i.e. LCM of 19,34,594 is 191862.

GCF of Denominators means GCF of 852,596,696 as per the given fractions.

GCF of 852,596,696 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,34,594

LCM of Fractions 19/852,34/596,594/696 is 191862/4

2 19, 34, 594
19, 17, 297

∴ So the LCM of the given numbers is 2 x 19 x 17 x 297 = 191862

Least Common Multiple of 19,34,594 with GCF Formula

Least Common Multiple of 19,34,594 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 19,34,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,34,594) = 1

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

GCF(19,34,594) x common factors =1 x 2 = 2

LCM(19,34,594) = ( 19 × 34 × 594 ) / 2

LCM(19,34,594) = 383724 / 2

LCM(19,34,594) = 191862


Lets's calculate GCF of 852,596,696

2 852, 596, 696
2 426, 298, 348
213, 149, 174

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 191862/4

Therefore the LCM of Fractions 19/852,34/596,594/696 is 191862/4

Greatest Common Factor of 852,596,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,596,696 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 852,596,696 . The biggest common factor number is the GCF number.
So the greatest common factor 852,596,696 is 4.


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 19/852, 34/596, 594/696

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 19/852, 34/596, 594/696?

Answer: LCM of Numerators as per given numbers 19/852, 34/596, 594/696 is

LCM of Numerators i.e. for 19,34,594 is 191862

GCF of denominators i.e. for 852,596,696 is 4.

Thus, LCM of Fractions is 191862/4.Finally, LCM of Fractions for 19/852, 34/596, 594/696 is 191862/4.