Least Common Multiple of 434/983, 254/834, 676/209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 434/983, 254/834, 676/209 quickly i.e. 18629884 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 434/983, 254/834, 676/209 is 18629884.

LCM(434/983, 254/834, 676/209) = 18629884

LCM of 434/983, 254/834, 676/209

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 434/983,254/834,676/209

Given numbers are 434/983,254/834,676/209

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 434,254,676

Least Common Multiple of Numerators i.e. LCM of 434,254,676 is 18629884.

GCF of Denominators means GCF of 983,834,209 as per the given fractions.

GCF of 983,834,209 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 434,254,676

LCM of Fractions 434/983,254/834,676/209 is 18629884

2 434, 254, 676
217, 127, 338

∴ So the LCM of the given numbers is 2 x 217 x 127 x 338 = 18629884

Least Common Multiple of 434,254,676 with GCF Formula

Least Common Multiple of 434,254,676 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 434,254,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,254,676) = 2

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

GCF(434,254,676) x common factors =2 x 2 = 4

LCM(434,254,676) = ( 434 × 254 × 676 ) / 4

LCM(434,254,676) = 74519536 / 4

LCM(434,254,676) = 18629884


Lets's calculate GCF of 983,834,209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18629884/1

Therefore the LCM of Fractions 434/983,254/834,676/209 is 18629884

Greatest Common Factor of 983,834,209 By Matching Biggest Common Factor Method

Greatest Common Factor of 983,834,209 By Matching Biggest Common Factor Method

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Greatest Common Factor

We found the factors 983,834,209 . The biggest common factor number is the GCF number.
So the greatest common factor 983,834,209 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 434/983, 254/834, 676/209

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 434/983, 254/834, 676/209?

Answer: LCM of Numerators as per given numbers 434/983, 254/834, 676/209 is

LCM of Numerators i.e. for 434,254,676 is 18629884

GCF of denominators i.e. for 983,834,209 is 1.

Thus, LCM of Fractions is 18629884.Finally, LCM of Fractions for 434/983, 254/834, 676/209 is 18629884.