Least Common Multiple of 19/65, 900/16, 980/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/65, 900/16, 980/734 quickly i.e. 837900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/65, 900/16, 980/734 is 837900.

LCM(19/65, 900/16, 980/734) = 837900

LCM of 19/65, 900/16, 980/734

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 19/65,900/16,980/734

Given numbers are 19/65,900/16,980/734

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 19,900,980

Least Common Multiple of Numerators i.e. LCM of 19,900,980 is 837900.

GCF of Denominators means GCF of 65,16,734 as per the given fractions.

GCF of 65,16,734 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,900,980

LCM of Fractions 19/65,900/16,980/734 is 837900

2 19, 900, 980
2 19, 450, 490
5 19, 225, 245
19, 45, 49

∴ So the LCM of the given numbers is 2 x 2 x 5 x 19 x 45 x 49 = 837900

Least Common Multiple of 19,900,980 with GCF Formula

Least Common Multiple of 19,900,980 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 19,900,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,900,980) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(19,900,980) x common factors =1 x 20 = 20

LCM(19,900,980) = ( 19 × 900 × 980 ) / 20

LCM(19,900,980) = 16758000 / 20

LCM(19,900,980) = 837900


Lets's calculate GCF of 65,16,734

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 837900/1

Therefore the LCM of Fractions 19/65,900/16,980/734 is 837900

Greatest Common Factor of 65,16,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,16,734 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 65,16,734 . The biggest common factor number is the GCF number.
So the greatest common factor 65,16,734 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 19/65, 900/16, 980/734

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 19/65, 900/16, 980/734?

Answer: LCM of Numerators as per given numbers 19/65, 900/16, 980/734 is

LCM of Numerators i.e. for 19,900,980 is 837900

GCF of denominators i.e. for 65,16,734 is 1.

Thus, LCM of Fractions is 837900.Finally, LCM of Fractions for 19/65, 900/16, 980/734 is 837900.