Least Common Multiple of 86/35, 71/85, 45/79, 53/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/35, 71/85, 45/79, 53/240 quickly i.e. 14562810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/35, 71/85, 45/79, 53/240 is 14562810.

LCM(86/35, 71/85, 45/79, 53/240) = 14562810

LCM of 86/35, 71/85, 45/79, 53/240

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 86/35,71/85,45/79,53/240

Given numbers are 86/35,71/85,45/79,53/240

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 86,71,45,53

Least Common Multiple of Numerators i.e. LCM of 86,71,45,53 is 14562810.

GCF of Denominators means GCF of 35,85,79,240 as per the given fractions.

GCF of 35,85,79,240 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,71,45,53

LCM of Fractions 86/35,71/85,45/79,53/240 is 14562810

Given numbers has no common factors except 1. So, there LCM is their product i.e 14562810

Least Common Multiple of 86,71,45,53 with GCF Formula

Least Common Multiple of 86,71,45,53 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 86,71,45,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,71,45,53) = 1

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

GCF(86,71,45,53) x common factors =1 x 1 = 1

LCM(86,71,45,53) = ( 86 × 71 × 45 × 53 ) / 1

LCM(86,71,45,53) = 14562810 / 1

LCM(86,71,45,53) = 14562810


Lets's calculate GCF of 35,85,79,240

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14562810/1

Therefore the LCM of Fractions 86/35,71/85,45/79,53/240 is 14562810

Greatest Common Factor of 35,85,79,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,85,79,240 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 85

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

1,5,17,85

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 35,85,79,240 . The biggest common factor number is the GCF number.
So the greatest common factor 35,85,79,240 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 86/35, 71/85, 45/79, 53/240

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 86/35, 71/85, 45/79, 53/240?

Answer: LCM of Numerators as per given numbers 86/35, 71/85, 45/79, 53/240 is

LCM of Numerators i.e. for 86,71,45,53 is 14562810

GCF of denominators i.e. for 35,85,79,240 is 1.

Thus, LCM of Fractions is 14562810.Finally, LCM of Fractions for 86/35, 71/85, 45/79, 53/240 is 14562810.