Least Common Multiple of 92/40, 59/19, 65/28, 95/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 92/40, 59/19, 65/28, 95/989 quickly i.e. 6703580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/40, 59/19, 65/28, 95/989 is 6703580.

LCM(92/40, 59/19, 65/28, 95/989) = 6703580

LCM of 92/40, 59/19, 65/28, 95/989

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 92/40,59/19,65/28,95/989

Given numbers are 92/40,59/19,65/28,95/989

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 92,59,65,95

Least Common Multiple of Numerators i.e. LCM of 92,59,65,95 is 6703580.

GCF of Denominators means GCF of 40,19,28,989 as per the given fractions.

GCF of 40,19,28,989 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,59,65,95

LCM of Fractions 92/40,59/19,65/28,95/989 is 6703580

5 92, 59, 65, 95
92, 59, 13, 19

∴ So the LCM of the given numbers is 5 x 92 x 59 x 13 x 19 = 6703580

Least Common Multiple of 92,59,65,95 with GCF Formula

Least Common Multiple of 92,59,65,95 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 92,59,65,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,59,65,95) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(92,59,65,95) x common factors =1 x 5 = 5

LCM(92,59,65,95) = ( 92 × 59 × 65 × 95 ) / 5

LCM(92,59,65,95) = 33517900 / 5

LCM(92,59,65,95) = 6703580


Lets's calculate GCF of 40,19,28,989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6703580/1

Therefore the LCM of Fractions 92/40,59/19,65/28,95/989 is 6703580

Greatest Common Factor of 40,19,28,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,19,28,989 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Greatest Common Factor

We found the factors 40,19,28,989 . The biggest common factor number is the GCF number.
So the greatest common factor 40,19,28,989 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 92/40, 59/19, 65/28, 95/989

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 92/40, 59/19, 65/28, 95/989?

Answer: LCM of Numerators as per given numbers 92/40, 59/19, 65/28, 95/989 is

LCM of Numerators i.e. for 92,59,65,95 is 6703580

GCF of denominators i.e. for 40,19,28,989 is 1.

Thus, LCM of Fractions is 6703580.Finally, LCM of Fractions for 92/40, 59/19, 65/28, 95/989 is 6703580.