Least Common Multiple of 68/785, 986/790, 320/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/785, 986/790, 320/125 quickly i.e. 31552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/785, 986/790, 320/125 is 31552.

LCM(68/785, 986/790, 320/125) = 31552

LCM of 68/785, 986/790, 320/125

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 68/785,986/790,320/125

Given numbers are 68/785,986/790,320/125

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 68,986,320

Least Common Multiple of Numerators i.e. LCM of 68,986,320 is 157760.

GCF of Denominators means GCF of 785,790,125 as per the given fractions.

GCF of 785,790,125 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,986,320

LCM of Fractions 68/785,986/790,320/125 is 31552

2 68, 986, 320
2 34, 493, 160
17 17, 493, 80
1, 29, 80

∴ So the LCM of the given numbers is 2 x 2 x 17 x 1 x 29 x 80 = 157760

Least Common Multiple of 68,986,320 with GCF Formula

Least Common Multiple of 68,986,320 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 68,986,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,986,320) = 2

common factors(in case of two or more numbers have common factors) = 68

GCF(68,986,320) x common factors =2 x 68 = 136

LCM(68,986,320) = ( 68 × 986 × 320 ) / 136

LCM(68,986,320) = 21455360 / 136

LCM(68,986,320) = 157760


Lets's calculate GCF of 785,790,125

5 785, 790, 125
157, 158, 25

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 157760/5

Therefore the LCM of Fractions 68/785,986/790,320/125 is 31552

Greatest Common Factor of 785,790,125 By Matching Biggest Common Factor Method

Greatest Common Factor of 785,790,125 By Matching Biggest Common Factor Method

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Greatest Common Factor

We found the factors 785,790,125 . The biggest common factor number is the GCF number.
So the greatest common factor 785,790,125 is 5.


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 68/785, 986/790, 320/125

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 68/785, 986/790, 320/125?

Answer: LCM of Numerators as per given numbers 68/785, 986/790, 320/125 is

LCM of Numerators i.e. for 68,986,320 is 157760

GCF of denominators i.e. for 785,790,125 is 5.

Thus, LCM of Fractions is 31552.Finally, LCM of Fractions for 68/785, 986/790, 320/125 is 31552.