Least Common Multiple of 19/214, 7217/1557

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/214, 7217/1557 quickly i.e. 137123 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/214, 7217/1557 is 137123.

LCM(19/214, 7217/1557) = 137123

LCM of 19/214, 7217/1557

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 19/214,7217/1557

Given numbers are 19/214,7217/1557

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 19,7217

Least Common Multiple of Numerators i.e. LCM of 19,7217 is 137123.

GCF of Denominators means GCF of 214,1557 as per the given fractions.

GCF of 214,1557 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,7217

LCM of Fractions 19/214,7217/1557 is 137123

Given numbers has no common factors except 1. So, there LCM is their product i.e 137123

Least Common Multiple of 19,7217 with GCF Formula

Least Common Multiple of 19,7217 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 19,7217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,7217) = 1

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

GCF(19,7217) x common factors =1 x 1 = 1

LCM(19,7217) = ( 19 × 7217 ) / 1

LCM(19,7217) = 137123 / 1

LCM(19,7217) = 137123


Lets's calculate GCF of 214,1557

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137123/1

Therefore the LCM of Fractions 19/214,7217/1557 is 137123

Greatest Common Factor of 214,1557 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,1557 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 1557

List of positive integer factors of 1557 that divides 1557 without a remainder.

1,3,9,173,519,1557

Greatest Common Factor

We found the factors 214,1557 . The biggest common factor number is the GCF number.
So the greatest common factor 214,1557 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 19/214, 7217/1557

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 19/214, 7217/1557?

Answer: LCM of Numerators as per given numbers 19/214, 7217/1557 is

LCM of Numerators i.e. for 19,7217 is 137123

GCF of denominators i.e. for 214,1557 is 1.

Thus, LCM of Fractions is 137123.Finally, LCM of Fractions for 19/214, 7217/1557 is 137123.