Least Common Multiple of 85/170, 536/980, 522/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/170, 536/980, 522/794 quickly i.e. 5945580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/170, 536/980, 522/794 is 5945580.

LCM(85/170, 536/980, 522/794) = 5945580

LCM of 85/170, 536/980, 522/794

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 85/170,536/980,522/794

Given numbers are 85/170,536/980,522/794

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 85,536,522

Least Common Multiple of Numerators i.e. LCM of 85,536,522 is 11891160.

GCF of Denominators means GCF of 170,980,794 as per the given fractions.

GCF of 170,980,794 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,536,522

LCM of Fractions 85/170,536/980,522/794 is 5945580

2 85, 536, 522
85, 268, 261

∴ So the LCM of the given numbers is 2 x 85 x 268 x 261 = 11891160

Least Common Multiple of 85,536,522 with GCF Formula

Least Common Multiple of 85,536,522 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 85,536,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,536,522) = 1

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

GCF(85,536,522) x common factors =1 x 2 = 2

LCM(85,536,522) = ( 85 × 536 × 522 ) / 2

LCM(85,536,522) = 23782320 / 2

LCM(85,536,522) = 11891160


Lets's calculate GCF of 170,980,794

2 170, 980, 794
85, 490, 397

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11891160/2

Therefore the LCM of Fractions 85/170,536/980,522/794 is 5945580

Greatest Common Factor of 170,980,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,980,794 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 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors 170,980,794 . The biggest common factor number is the GCF number.
So the greatest common factor 170,980,794 is 2.


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 85/170, 536/980, 522/794

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 85/170, 536/980, 522/794?

Answer: LCM of Numerators as per given numbers 85/170, 536/980, 522/794 is

LCM of Numerators i.e. for 85,536,522 is 11891160

GCF of denominators i.e. for 170,980,794 is 2.

Thus, LCM of Fractions is 5945580.Finally, LCM of Fractions for 85/170, 536/980, 522/794 is 5945580.