Least Common Multiple of 85/595, 86/667, 870/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/595, 86/667, 870/565 quickly i.e. 635970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/595, 86/667, 870/565 is 635970.

LCM(85/595, 86/667, 870/565) = 635970

LCM of 85/595, 86/667, 870/565

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 85/595,86/667,870/565

Given numbers are 85/595,86/667,870/565

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 85,86,870

Least Common Multiple of Numerators i.e. LCM of 85,86,870 is 635970.

GCF of Denominators means GCF of 595,667,565 as per the given fractions.

GCF of 595,667,565 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,86,870

LCM of Fractions 85/595,86/667,870/565 is 635970

2 85, 86, 870
5 85, 43, 435
17, 43, 87

∴ So the LCM of the given numbers is 2 x 5 x 17 x 43 x 87 = 635970

Least Common Multiple of 85,86,870 with GCF Formula

Least Common Multiple of 85,86,870 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 85,86,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,86,870) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(85,86,870) x common factors =1 x 10 = 10

LCM(85,86,870) = ( 85 × 86 × 870 ) / 10

LCM(85,86,870) = 6359700 / 10

LCM(85,86,870) = 635970


Lets's calculate GCF of 595,667,565

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 635970/1

Therefore the LCM of Fractions 85/595,86/667,870/565 is 635970

Greatest Common Factor of 595,667,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 595,667,565 By Matching Biggest Common Factor Method

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors 595,667,565 . The biggest common factor number is the GCF number.
So the greatest common factor 595,667,565 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 85/595, 86/667, 870/565

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 85/595, 86/667, 870/565?

Answer: LCM of Numerators as per given numbers 85/595, 86/667, 870/565 is

LCM of Numerators i.e. for 85,86,870 is 635970

GCF of denominators i.e. for 595,667,565 is 1.

Thus, LCM of Fractions is 635970.Finally, LCM of Fractions for 85/595, 86/667, 870/565 is 635970.