Least Common Multiple of 8505/245, 4248/9814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8505/245, 4248/9814 quickly i.e. 573480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8505/245, 4248/9814 is 573480.

LCM(8505/245, 4248/9814) = 573480

LCM of 8505/245, 4248/9814

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 8505/245,4248/9814

Given numbers are 8505/245,4248/9814

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 8505,4248

Least Common Multiple of Numerators i.e. LCM of 8505,4248 is 4014360.

GCF of Denominators means GCF of 245,9814 as per the given fractions.

GCF of 245,9814 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8505,4248

LCM of Fractions 8505/245,4248/9814 is 573480

3 8505, 4248
3 2835, 1416
945, 472

∴ So the LCM of the given numbers is 3 x 3 x 945 x 472 = 4014360

Least Common Multiple of 8505,4248 with GCF Formula

Least Common Multiple of 8505,4248 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 8505,4248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8505,4248) = 9

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

GCF(8505,4248) x common factors =9 x 1 = 9

LCM(8505,4248) = ( 8505 × 4248 ) / 9

LCM(8505,4248) = 36129240 / 9

LCM(8505,4248) = 4014360


Lets's calculate GCF of 245,9814

7 245, 9814
35, 1402

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4014360/7

Therefore the LCM of Fractions 8505/245,4248/9814 is 573480

Greatest Common Factor of 245,9814 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,9814 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 9814

List of positive integer factors of 9814 that divides 9814 without a remainder.

1,2,7,14,701,1402,4907,9814

Greatest Common Factor

We found the factors 245,9814 . The biggest common factor number is the GCF number.
So the greatest common factor 245,9814 is 7.


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 8505/245, 4248/9814

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 8505/245, 4248/9814?

Answer: LCM of Numerators as per given numbers 8505/245, 4248/9814 is

LCM of Numerators i.e. for 8505,4248 is 4014360

GCF of denominators i.e. for 245,9814 is 7.

Thus, LCM of Fractions is 573480.Finally, LCM of Fractions for 8505/245, 4248/9814 is 573480.