Least Common Multiple of 19/614, 34/210, 157/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/614, 34/210, 157/496 quickly i.e. 50711 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/614, 34/210, 157/496 is 50711.

LCM(19/614, 34/210, 157/496) = 50711

LCM of 19/614, 34/210, 157/496

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 19/614,34/210,157/496

Given numbers are 19/614,34/210,157/496

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 19,34,157

Least Common Multiple of Numerators i.e. LCM of 19,34,157 is 101422.

GCF of Denominators means GCF of 614,210,496 as per the given fractions.

GCF of 614,210,496 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,34,157

LCM of Fractions 19/614,34/210,157/496 is 50711

Given numbers has no common factors except 1. So, there LCM is their product i.e 101422

Least Common Multiple of 19,34,157 with GCF Formula

Least Common Multiple of 19,34,157 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 19,34,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,34,157) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(19,34,157) x common factors =1 x 1 = 1

LCM(19,34,157) = ( 19 × 34 × 157 ) / 1

LCM(19,34,157) = 101422 / 1

LCM(19,34,157) = 101422


Lets's calculate GCF of 614,210,496

2 614, 210, 496
307, 105, 248

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101422/2

Therefore the LCM of Fractions 19/614,34/210,157/496 is 50711

Greatest Common Factor of 614,210,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,210,496 By Matching Biggest Common Factor Method

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 614,210,496 . The biggest common factor number is the GCF number.
So the greatest common factor 614,210,496 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 19/614, 34/210, 157/496

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 19/614, 34/210, 157/496?

Answer: LCM of Numerators as per given numbers 19/614, 34/210, 157/496 is

LCM of Numerators i.e. for 19,34,157 is 101422

GCF of denominators i.e. for 614,210,496 is 2.

Thus, LCM of Fractions is 50711.Finally, LCM of Fractions for 19/614, 34/210, 157/496 is 50711.