Least Common Multiple of 19/34, 49/651, 187/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/34, 49/651, 187/677 quickly i.e. 174097 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/34, 49/651, 187/677 is 174097.

LCM(19/34, 49/651, 187/677) = 174097

LCM of 19/34, 49/651, 187/677

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 19/34,49/651,187/677

Given numbers are 19/34,49/651,187/677

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 19,49,187

Least Common Multiple of Numerators i.e. LCM of 19,49,187 is 174097.

GCF of Denominators means GCF of 34,651,677 as per the given fractions.

GCF of 34,651,677 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,49,187

LCM of Fractions 19/34,49/651,187/677 is 174097

Given numbers has no common factors except 1. So, there LCM is their product i.e 174097

Least Common Multiple of 19,49,187 with GCF Formula

Least Common Multiple of 19,49,187 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 19,49,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,49,187) = 1

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

GCF(19,49,187) x common factors =1 x 1 = 1

LCM(19,49,187) = ( 19 × 49 × 187 ) / 1

LCM(19,49,187) = 174097 / 1

LCM(19,49,187) = 174097


Lets's calculate GCF of 34,651,677

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 174097/1

Therefore the LCM of Fractions 19/34,49/651,187/677 is 174097

Greatest Common Factor of 34,651,677 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,651,677 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Greatest Common Factor

We found the factors 34,651,677 . The biggest common factor number is the GCF number.
So the greatest common factor 34,651,677 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 19/34, 49/651, 187/677

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 19/34, 49/651, 187/677?

Answer: LCM of Numerators as per given numbers 19/34, 49/651, 187/677 is

LCM of Numerators i.e. for 19,49,187 is 174097

GCF of denominators i.e. for 34,651,677 is 1.

Thus, LCM of Fractions is 174097.Finally, LCM of Fractions for 19/34, 49/651, 187/677 is 174097.