Least Common Multiple of 82/170, 6463/9435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/170, 6463/9435 quickly i.e. 529966/85 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/170, 6463/9435 is 529966/85.

LCM(82/170, 6463/9435) = 529966/85

LCM of 82/170, 6463/9435

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 82/170,6463/9435

Given numbers are 82/170,6463/9435

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 82,6463

Least Common Multiple of Numerators i.e. LCM of 82,6463 is 529966.

GCF of Denominators means GCF of 170,9435 as per the given fractions.

GCF of 170,9435 is 85 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,6463

LCM of Fractions 82/170,6463/9435 is 529966/85

Given numbers has no common factors except 1. So, there LCM is their product i.e 529966

Least Common Multiple of 82,6463 with GCF Formula

Least Common Multiple of 82,6463 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 82,6463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,6463) = 1

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

GCF(82,6463) x common factors =1 x 1 = 1

LCM(82,6463) = ( 82 × 6463 ) / 1

LCM(82,6463) = 529966 / 1

LCM(82,6463) = 529966


Lets's calculate GCF of 170,9435

5 170, 9435
17 34, 1887
2, 111

∴ So the GCF of the given numbers is 5 x 17 = 85

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 529966/85

Therefore the LCM of Fractions 82/170,6463/9435 is 529966/85

Greatest Common Factor of 170,9435 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,9435 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 9435

List of positive integer factors of 9435 that divides 9435 without a remainder.

1,3,5,15,17,37,51,85,111,185,255,555,629,1887,3145,9435

Greatest Common Factor

We found the factors 170,9435 . The biggest common factor number is the GCF number.
So the greatest common factor 170,9435 is 85.


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 82/170, 6463/9435

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 82/170, 6463/9435?

Answer: LCM of Numerators as per given numbers 82/170, 6463/9435 is

LCM of Numerators i.e. for 82,6463 is 529966

GCF of denominators i.e. for 170,9435 is 85.

Thus, LCM of Fractions is 529966/85.Finally, LCM of Fractions for 82/170, 6463/9435 is 529966/85.