Least Common Multiple of 98/304, 49/462, 828/206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/304, 49/462, 828/206 quickly i.e. 20286 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/304, 49/462, 828/206 is 20286.

LCM(98/304, 49/462, 828/206) = 20286

LCM of 98/304, 49/462, 828/206

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 98/304,49/462,828/206

Given numbers are 98/304,49/462,828/206

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 98,49,828

Least Common Multiple of Numerators i.e. LCM of 98,49,828 is 40572.

GCF of Denominators means GCF of 304,462,206 as per the given fractions.

GCF of 304,462,206 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,49,828

LCM of Fractions 98/304,49/462,828/206 is 20286

2 98, 49, 828
7 49, 49, 414
7 7, 7, 414
1, 1, 414

∴ So the LCM of the given numbers is 2 x 7 x 7 x 1 x 1 x 414 = 40572

Least Common Multiple of 98,49,828 with GCF Formula

Least Common Multiple of 98,49,828 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 98,49,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,49,828) = 1

common factors(in case of two or more numbers have common factors) = 98

GCF(98,49,828) x common factors =1 x 98 = 98

LCM(98,49,828) = ( 98 × 49 × 828 ) / 98

LCM(98,49,828) = 3976056 / 98

LCM(98,49,828) = 40572


Lets's calculate GCF of 304,462,206

2 304, 462, 206
152, 231, 103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40572/2

Therefore the LCM of Fractions 98/304,49/462,828/206 is 20286

Greatest Common Factor of 304,462,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,462,206 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Greatest Common Factor

We found the factors 304,462,206 . The biggest common factor number is the GCF number.
So the greatest common factor 304,462,206 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 98/304, 49/462, 828/206

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 98/304, 49/462, 828/206?

Answer: LCM of Numerators as per given numbers 98/304, 49/462, 828/206 is

LCM of Numerators i.e. for 98,49,828 is 40572

GCF of denominators i.e. for 304,462,206 is 2.

Thus, LCM of Fractions is 20286.Finally, LCM of Fractions for 98/304, 49/462, 828/206 is 20286.