Least Common Multiple of 998/68, 547/63, 414/433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 998/68, 547/63, 414/433 quickly i.e. 113002542 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 998/68, 547/63, 414/433 is 113002542.

LCM(998/68, 547/63, 414/433) = 113002542

LCM of 998/68, 547/63, 414/433

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 998/68,547/63,414/433

Given numbers are 998/68,547/63,414/433

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 998,547,414

Least Common Multiple of Numerators i.e. LCM of 998,547,414 is 113002542.

GCF of Denominators means GCF of 68,63,433 as per the given fractions.

GCF of 68,63,433 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 998,547,414

LCM of Fractions 998/68,547/63,414/433 is 113002542

2 998, 547, 414
499, 547, 207

∴ So the LCM of the given numbers is 2 x 499 x 547 x 207 = 113002542

Least Common Multiple of 998,547,414 with GCF Formula

Least Common Multiple of 998,547,414 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 998,547,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,547,414) = 1

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

GCF(998,547,414) x common factors =1 x 2 = 2

LCM(998,547,414) = ( 998 × 547 × 414 ) / 2

LCM(998,547,414) = 226005084 / 2

LCM(998,547,414) = 113002542


Lets's calculate GCF of 68,63,433

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113002542/1

Therefore the LCM of Fractions 998/68,547/63,414/433 is 113002542

Greatest Common Factor of 68,63,433 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,63,433 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Greatest Common Factor

We found the factors 68,63,433 . The biggest common factor number is the GCF number.
So the greatest common factor 68,63,433 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 998/68, 547/63, 414/433

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 998/68, 547/63, 414/433?

Answer: LCM of Numerators as per given numbers 998/68, 547/63, 414/433 is

LCM of Numerators i.e. for 998,547,414 is 113002542

GCF of denominators i.e. for 68,63,433 is 1.

Thus, LCM of Fractions is 113002542.Finally, LCM of Fractions for 998/68, 547/63, 414/433 is 113002542.