Least Common Multiple of 19/97, 785/45, 628/631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/97, 785/45, 628/631 quickly i.e. 59660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/97, 785/45, 628/631 is 59660.

LCM(19/97, 785/45, 628/631) = 59660

LCM of 19/97, 785/45, 628/631

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 19/97,785/45,628/631

Given numbers are 19/97,785/45,628/631

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 19,785,628

Least Common Multiple of Numerators i.e. LCM of 19,785,628 is 59660.

GCF of Denominators means GCF of 97,45,631 as per the given fractions.

GCF of 97,45,631 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,785,628

LCM of Fractions 19/97,785/45,628/631 is 59660

157 19, 785, 628
19, 5, 4

∴ So the LCM of the given numbers is 157 x 19 x 5 x 4 = 59660

Least Common Multiple of 19,785,628 with GCF Formula

Least Common Multiple of 19,785,628 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 19,785,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,785,628) = 1

common factors(in case of two or more numbers have common factors) = 157

GCF(19,785,628) x common factors =1 x 157 = 157

LCM(19,785,628) = ( 19 × 785 × 628 ) / 157

LCM(19,785,628) = 9366620 / 157

LCM(19,785,628) = 59660


Lets's calculate GCF of 97,45,631

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59660/1

Therefore the LCM of Fractions 19/97,785/45,628/631 is 59660

Greatest Common Factor of 97,45,631 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,45,631 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Greatest Common Factor

We found the factors 97,45,631 . The biggest common factor number is the GCF number.
So the greatest common factor 97,45,631 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 19/97, 785/45, 628/631

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 19/97, 785/45, 628/631?

Answer: LCM of Numerators as per given numbers 19/97, 785/45, 628/631 is

LCM of Numerators i.e. for 19,785,628 is 59660

GCF of denominators i.e. for 97,45,631 is 1.

Thus, LCM of Fractions is 59660.Finally, LCM of Fractions for 19/97, 785/45, 628/631 is 59660.