Least Common Multiple of 82/35, 915/86, 772/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/35, 915/86, 772/470 quickly i.e. 28961580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/35, 915/86, 772/470 is 28961580.

LCM(82/35, 915/86, 772/470) = 28961580

LCM of 82/35, 915/86, 772/470

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 82/35,915/86,772/470

Given numbers are 82/35,915/86,772/470

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 82,915,772

Least Common Multiple of Numerators i.e. LCM of 82,915,772 is 28961580.

GCF of Denominators means GCF of 35,86,470 as per the given fractions.

GCF of 35,86,470 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,915,772

LCM of Fractions 82/35,915/86,772/470 is 28961580

2 82, 915, 772
41, 915, 386

∴ So the LCM of the given numbers is 2 x 41 x 915 x 386 = 28961580

Least Common Multiple of 82,915,772 with GCF Formula

Least Common Multiple of 82,915,772 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 82,915,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,915,772) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(82,915,772) x common factors =1 x 2 = 2

LCM(82,915,772) = ( 82 × 915 × 772 ) / 2

LCM(82,915,772) = 57923160 / 2

LCM(82,915,772) = 28961580


Lets's calculate GCF of 35,86,470

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28961580/1

Therefore the LCM of Fractions 82/35,915/86,772/470 is 28961580

Greatest Common Factor of 35,86,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,86,470 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 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 35,86,470 . The biggest common factor number is the GCF number.
So the greatest common factor 35,86,470 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 82/35, 915/86, 772/470

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 82/35, 915/86, 772/470?

Answer: LCM of Numerators as per given numbers 82/35, 915/86, 772/470 is

LCM of Numerators i.e. for 82,915,772 is 28961580

GCF of denominators i.e. for 35,86,470 is 1.

Thus, LCM of Fractions is 28961580.Finally, LCM of Fractions for 82/35, 915/86, 772/470 is 28961580.