Least Common Multiple of 85/85, 80/14, 90/90, 78/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/85, 80/14, 90/90, 78/120 quickly i.e. 159120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/85, 80/14, 90/90, 78/120 is 159120.

LCM(85/85, 80/14, 90/90, 78/120) = 159120

LCM of 85/85, 80/14, 90/90, 78/120

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 85/85,80/14,90/90,78/120

Given numbers are 85/85,80/14,90/90,78/120

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 85,80,90,78

Least Common Multiple of Numerators i.e. LCM of 85,80,90,78 is 159120.

GCF of Denominators means GCF of 85,14,90,120 as per the given fractions.

GCF of 85,14,90,120 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,80,90,78

LCM of Fractions 85/85,80/14,90/90,78/120 is 159120

2 85, 80, 90, 78
3 85, 40, 45, 39
5 85, 40, 15, 13
17, 8, 3, 13

∴ So the LCM of the given numbers is 2 x 3 x 5 x 17 x 8 x 3 x 13 = 159120

Least Common Multiple of 85,80,90,78 with GCF Formula

Least Common Multiple of 85,80,90,78 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 85,80,90,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,80,90,78) = 1

common factors(in case of two or more numbers have common factors) = 300

GCF(85,80,90,78) x common factors =1 x 300 = 300

LCM(85,80,90,78) = ( 85 × 80 × 90 × 78 ) / 300

LCM(85,80,90,78) = 47736000 / 300

LCM(85,80,90,78) = 159120


Lets's calculate GCF of 85,14,90,120

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159120/1

Therefore the LCM of Fractions 85/85,80/14,90/90,78/120 is 159120

Greatest Common Factor of 85,14,90,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,14,90,120 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 85,14,90,120 . The biggest common factor number is the GCF number.
So the greatest common factor 85,14,90,120 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 85/85, 80/14, 90/90, 78/120

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 85/85, 80/14, 90/90, 78/120?

Answer: LCM of Numerators as per given numbers 85/85, 80/14, 90/90, 78/120 is

LCM of Numerators i.e. for 85,80,90,78 is 159120

GCF of denominators i.e. for 85,14,90,120 is 1.

Thus, LCM of Fractions is 159120.Finally, LCM of Fractions for 85/85, 80/14, 90/90, 78/120 is 159120.