Least Common Multiple of 98/116, 47/206, 976/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/116, 47/206, 976/784 quickly i.e. 1123864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/116, 47/206, 976/784 is 1123864.

LCM(98/116, 47/206, 976/784) = 1123864

LCM of 98/116, 47/206, 976/784

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 98/116,47/206,976/784

Given numbers are 98/116,47/206,976/784

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 98,47,976

Least Common Multiple of Numerators i.e. LCM of 98,47,976 is 2247728.

GCF of Denominators means GCF of 116,206,784 as per the given fractions.

GCF of 116,206,784 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,47,976

LCM of Fractions 98/116,47/206,976/784 is 1123864

2 98, 47, 976
49, 47, 488

∴ So the LCM of the given numbers is 2 x 49 x 47 x 488 = 2247728

Least Common Multiple of 98,47,976 with GCF Formula

Least Common Multiple of 98,47,976 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 98,47,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,47,976) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(98,47,976) x common factors =1 x 2 = 2

LCM(98,47,976) = ( 98 × 47 × 976 ) / 2

LCM(98,47,976) = 4495456 / 2

LCM(98,47,976) = 2247728


Lets's calculate GCF of 116,206,784

2 116, 206, 784
58, 103, 392

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2247728/2

Therefore the LCM of Fractions 98/116,47/206,976/784 is 1123864

Greatest Common Factor of 116,206,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 116,206,784 By Matching Biggest Common Factor Method

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Factors of 206

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

1,2,103,206

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 116,206,784 . The biggest common factor number is the GCF number.
So the greatest common factor 116,206,784 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 98/116, 47/206, 976/784

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 98/116, 47/206, 976/784?

Answer: LCM of Numerators as per given numbers 98/116, 47/206, 976/784 is

LCM of Numerators i.e. for 98,47,976 is 2247728

GCF of denominators i.e. for 116,206,784 is 2.

Thus, LCM of Fractions is 1123864.Finally, LCM of Fractions for 98/116, 47/206, 976/784 is 1123864.