Least Common Multiple of 520/98, 348/8682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 520/98, 348/8682 quickly i.e. 22620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 520/98, 348/8682 is 22620.

LCM(520/98, 348/8682) = 22620

LCM of 520/98, 348/8682

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 520/98,348/8682

Given numbers are 520/98,348/8682

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 520,348

Least Common Multiple of Numerators i.e. LCM of 520,348 is 45240.

GCF of Denominators means GCF of 98,8682 as per the given fractions.

GCF of 98,8682 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 520,348

LCM of Fractions 520/98,348/8682 is 22620

2 520, 348
2 260, 174
130, 87

∴ So the LCM of the given numbers is 2 x 2 x 130 x 87 = 45240

Least Common Multiple of 520,348 with GCF Formula

Least Common Multiple of 520,348 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 520,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,348) = 4

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

GCF(520,348) x common factors =4 x 1 = 4

LCM(520,348) = ( 520 × 348 ) / 4

LCM(520,348) = 180960 / 4

LCM(520,348) = 45240


Lets's calculate GCF of 98,8682

2 98, 8682
49, 4341

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45240/2

Therefore the LCM of Fractions 520/98,348/8682 is 22620

Greatest Common Factor of 98,8682 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,8682 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 8682

List of positive integer factors of 8682 that divides 8682 without a remainder.

1,2,3,6,1447,2894,4341,8682

Greatest Common Factor

We found the factors 98,8682 . The biggest common factor number is the GCF number.
So the greatest common factor 98,8682 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 520/98, 348/8682

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 520/98, 348/8682?

Answer: LCM of Numerators as per given numbers 520/98, 348/8682 is

LCM of Numerators i.e. for 520,348 is 45240

GCF of denominators i.e. for 98,8682 is 2.

Thus, LCM of Fractions is 22620.Finally, LCM of Fractions for 520/98, 348/8682 is 22620.