Least Common Multiple of 19/364, 167/392, 551/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/364, 167/392, 551/336 quickly i.e. 92017/28 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/364, 167/392, 551/336 is 92017/28.

LCM(19/364, 167/392, 551/336) = 92017/28

LCM of 19/364, 167/392, 551/336

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 19/364,167/392,551/336

Given numbers are 19/364,167/392,551/336

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 19,167,551

Least Common Multiple of Numerators i.e. LCM of 19,167,551 is 92017.

GCF of Denominators means GCF of 364,392,336 as per the given fractions.

GCF of 364,392,336 is 28 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,167,551

LCM of Fractions 19/364,167/392,551/336 is 92017/28

19 19, 167, 551
1, 167, 29

∴ So the LCM of the given numbers is 19 x 1 x 167 x 29 = 92017

Least Common Multiple of 19,167,551 with GCF Formula

Least Common Multiple of 19,167,551 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 19,167,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,167,551) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(19,167,551) x common factors =1 x 19 = 19

LCM(19,167,551) = ( 19 × 167 × 551 ) / 19

LCM(19,167,551) = 1748323 / 19

LCM(19,167,551) = 92017


Lets's calculate GCF of 364,392,336

2 364, 392, 336
2 182, 196, 168
7 91, 98, 84
13, 14, 12

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92017/28

Therefore the LCM of Fractions 19/364,167/392,551/336 is 92017/28

Greatest Common Factor of 364,392,336 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,392,336 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Greatest Common Factor

We found the factors 364,392,336 . The biggest common factor number is the GCF number.
So the greatest common factor 364,392,336 is 28.


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 19/364, 167/392, 551/336

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 19/364, 167/392, 551/336?

Answer: LCM of Numerators as per given numbers 19/364, 167/392, 551/336 is

LCM of Numerators i.e. for 19,167,551 is 92017

GCF of denominators i.e. for 364,392,336 is 28.

Thus, LCM of Fractions is 92017/28.Finally, LCM of Fractions for 19/364, 167/392, 551/336 is 92017/28.