Least Common Multiple of 29/930, 426/448, 658/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/930, 426/448, 658/646 quickly i.e. 2032233 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/930, 426/448, 658/646 is 2032233.

LCM(29/930, 426/448, 658/646) = 2032233

LCM of 29/930, 426/448, 658/646

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 29/930,426/448,658/646

Given numbers are 29/930,426/448,658/646

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 29,426,658

Least Common Multiple of Numerators i.e. LCM of 29,426,658 is 4064466.

GCF of Denominators means GCF of 930,448,646 as per the given fractions.

GCF of 930,448,646 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,426,658

LCM of Fractions 29/930,426/448,658/646 is 2032233

2 29, 426, 658
29, 213, 329

∴ So the LCM of the given numbers is 2 x 29 x 213 x 329 = 4064466

Least Common Multiple of 29,426,658 with GCF Formula

Least Common Multiple of 29,426,658 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 29,426,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,426,658) = 1

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

GCF(29,426,658) x common factors =1 x 2 = 2

LCM(29,426,658) = ( 29 × 426 × 658 ) / 2

LCM(29,426,658) = 8128932 / 2

LCM(29,426,658) = 4064466


Lets's calculate GCF of 930,448,646

2 930, 448, 646
465, 224, 323

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4064466/2

Therefore the LCM of Fractions 29/930,426/448,658/646 is 2032233

Greatest Common Factor of 930,448,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 930,448,646 By Matching Biggest Common Factor Method

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 930,448,646 . The biggest common factor number is the GCF number.
So the greatest common factor 930,448,646 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 29/930, 426/448, 658/646

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 29/930, 426/448, 658/646?

Answer: LCM of Numerators as per given numbers 29/930, 426/448, 658/646 is

LCM of Numerators i.e. for 29,426,658 is 4064466

GCF of denominators i.e. for 930,448,646 is 2.

Thus, LCM of Fractions is 2032233.Finally, LCM of Fractions for 29/930, 426/448, 658/646 is 2032233.