Least Common Multiple of 86/245, 1804/8649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/245, 1804/8649 quickly i.e. 77572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/245, 1804/8649 is 77572.

LCM(86/245, 1804/8649) = 77572

LCM of 86/245, 1804/8649

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 86/245,1804/8649

Given numbers are 86/245,1804/8649

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 86,1804

Least Common Multiple of Numerators i.e. LCM of 86,1804 is 77572.

GCF of Denominators means GCF of 245,8649 as per the given fractions.

GCF of 245,8649 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,1804

LCM of Fractions 86/245,1804/8649 is 77572

2 86, 1804
43, 902

∴ So the LCM of the given numbers is 2 x 43 x 902 = 77572

Least Common Multiple of 86,1804 with GCF Formula

Least Common Multiple of 86,1804 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 86,1804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,1804) = 2

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

GCF(86,1804) x common factors =2 x 1 = 2

LCM(86,1804) = ( 86 × 1804 ) / 2

LCM(86,1804) = 155144 / 2

LCM(86,1804) = 77572


Lets's calculate GCF of 245,8649

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77572/1

Therefore the LCM of Fractions 86/245,1804/8649 is 77572

Greatest Common Factor of 245,8649 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,8649 By Matching Biggest Common Factor Method

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 8649

List of positive integer factors of 8649 that divides 8649 without a remainder.

1,3,9,31,93,279,961,2883,8649

Greatest Common Factor

We found the factors 245,8649 . The biggest common factor number is the GCF number.
So the greatest common factor 245,8649 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 86/245, 1804/8649

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 86/245, 1804/8649?

Answer: LCM of Numerators as per given numbers 86/245, 1804/8649 is

LCM of Numerators i.e. for 86,1804 is 77572

GCF of denominators i.e. for 245,8649 is 1.

Thus, LCM of Fractions is 77572.Finally, LCM of Fractions for 86/245, 1804/8649 is 77572.