Least Common Multiple of 100/78, 860/8140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 100/78, 860/8140 quickly i.e. 2150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 100/78, 860/8140 is 2150.

LCM(100/78, 860/8140) = 2150

LCM of 100/78, 860/8140

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 100/78,860/8140

Given numbers are 100/78,860/8140

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 100,860

Least Common Multiple of Numerators i.e. LCM of 100,860 is 4300.

GCF of Denominators means GCF of 78,8140 as per the given fractions.

GCF of 78,8140 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 100,860

LCM of Fractions 100/78,860/8140 is 2150

2 100, 860
2 50, 430
5 25, 215
5, 43

∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 43 = 4300

Least Common Multiple of 100,860 with GCF Formula

Least Common Multiple of 100,860 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 100,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,860) = 20

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

GCF(100,860) x common factors =20 x 1 = 20

LCM(100,860) = ( 100 × 860 ) / 20

LCM(100,860) = 86000 / 20

LCM(100,860) = 4300


Lets's calculate GCF of 78,8140

2 78, 8140
39, 4070

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4300/2

Therefore the LCM of Fractions 100/78,860/8140 is 2150

Greatest Common Factor of 78,8140 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,8140 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 8140

List of positive integer factors of 8140 that divides 8140 without a remainder.

1,2,4,5,10,11,20,22,37,44,55,74,110,148,185,220,370,407,740,814,1628,2035,4070,8140

Greatest Common Factor

We found the factors 78,8140 . The biggest common factor number is the GCF number.
So the greatest common factor 78,8140 is 2.


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 100/78, 860/8140

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 100/78, 860/8140?

Answer: LCM of Numerators as per given numbers 100/78, 860/8140 is

LCM of Numerators i.e. for 100,860 is 4300

GCF of denominators i.e. for 78,8140 is 2.

Thus, LCM of Fractions is 2150.Finally, LCM of Fractions for 100/78, 860/8140 is 2150.