Least Common Multiple of 19/357, 16/572, 475/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/357, 16/572, 475/169 quickly i.e. 7600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/357, 16/572, 475/169 is 7600.

LCM(19/357, 16/572, 475/169) = 7600

LCM of 19/357, 16/572, 475/169

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 19/357,16/572,475/169

Given numbers are 19/357,16/572,475/169

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 19,16,475

Least Common Multiple of Numerators i.e. LCM of 19,16,475 is 7600.

GCF of Denominators means GCF of 357,572,169 as per the given fractions.

GCF of 357,572,169 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,16,475

LCM of Fractions 19/357,16/572,475/169 is 7600

19 19, 16, 475
1, 16, 25

∴ So the LCM of the given numbers is 19 x 1 x 16 x 25 = 7600

Least Common Multiple of 19,16,475 with GCF Formula

Least Common Multiple of 19,16,475 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 19,16,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,16,475) = 1

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

GCF(19,16,475) x common factors =1 x 19 = 19

LCM(19,16,475) = ( 19 × 16 × 475 ) / 19

LCM(19,16,475) = 144400 / 19

LCM(19,16,475) = 7600


Lets's calculate GCF of 357,572,169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7600/1

Therefore the LCM of Fractions 19/357,16/572,475/169 is 7600

Greatest Common Factor of 357,572,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,572,169 By Matching Biggest Common Factor Method

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Greatest Common Factor

We found the factors 357,572,169 . The biggest common factor number is the GCF number.
So the greatest common factor 357,572,169 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 19/357, 16/572, 475/169

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 19/357, 16/572, 475/169?

Answer: LCM of Numerators as per given numbers 19/357, 16/572, 475/169 is

LCM of Numerators i.e. for 19,16,475 is 7600

GCF of denominators i.e. for 357,572,169 is 1.

Thus, LCM of Fractions is 7600.Finally, LCM of Fractions for 19/357, 16/572, 475/169 is 7600.