Least Common Multiple of 86/850, 9792/9860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/850, 9792/9860 quickly i.e. 421056/170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/850, 9792/9860 is 421056/170.

LCM(86/850, 9792/9860) = 421056/170

LCM of 86/850, 9792/9860

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 86/850,9792/9860

Given numbers are 86/850,9792/9860

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 86,9792

Least Common Multiple of Numerators i.e. LCM of 86,9792 is 421056.

GCF of Denominators means GCF of 850,9860 as per the given fractions.

GCF of 850,9860 is 170 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,9792

LCM of Fractions 86/850,9792/9860 is 421056/170

2 86, 9792
43, 4896

∴ So the LCM of the given numbers is 2 x 43 x 4896 = 421056

Least Common Multiple of 86,9792 with GCF Formula

Least Common Multiple of 86,9792 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 86,9792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,9792) = 2

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

GCF(86,9792) x common factors =2 x 1 = 2

LCM(86,9792) = ( 86 × 9792 ) / 2

LCM(86,9792) = 842112 / 2

LCM(86,9792) = 421056


Lets's calculate GCF of 850,9860

2 850, 9860
5 425, 4930
17 85, 986
5, 58

∴ So the GCF of the given numbers is 2 x 5 x 17 = 170

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 421056/170

Therefore the LCM of Fractions 86/850,9792/9860 is 421056/170

Greatest Common Factor of 850,9860 By Matching Biggest Common Factor Method

Greatest Common Factor of 850,9860 By Matching Biggest Common Factor Method

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 9860

List of positive integer factors of 9860 that divides 9860 without a remainder.

1,2,4,5,10,17,20,29,34,58,68,85,116,145,170,290,340,493,580,986,1972,2465,4930,9860

Greatest Common Factor

We found the factors 850,9860 . The biggest common factor number is the GCF number.
So the greatest common factor 850,9860 is 170.


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 86/850, 9792/9860

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 86/850, 9792/9860?

Answer: LCM of Numerators as per given numbers 86/850, 9792/9860 is

LCM of Numerators i.e. for 86,9792 is 421056

GCF of denominators i.e. for 850,9860 is 170.

Thus, LCM of Fractions is 421056/170.Finally, LCM of Fractions for 86/850, 9792/9860 is 421056/170.