Least Common Multiple of 344/56, 898/21, 824/535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 344/56, 898/21, 824/535 quickly i.e. 15908968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 344/56, 898/21, 824/535 is 15908968.

LCM(344/56, 898/21, 824/535) = 15908968

LCM of 344/56, 898/21, 824/535

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 344/56,898/21,824/535

Given numbers are 344/56,898/21,824/535

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 344,898,824

Least Common Multiple of Numerators i.e. LCM of 344,898,824 is 15908968.

GCF of Denominators means GCF of 56,21,535 as per the given fractions.

GCF of 56,21,535 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 344,898,824

LCM of Fractions 344/56,898/21,824/535 is 15908968

2 344, 898, 824
2 172, 449, 412
2 86, 449, 206
43, 449, 103

∴ So the LCM of the given numbers is 2 x 2 x 2 x 43 x 449 x 103 = 15908968

Least Common Multiple of 344,898,824 with GCF Formula

Least Common Multiple of 344,898,824 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 344,898,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,898,824) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(344,898,824) x common factors =2 x 8 = 16

LCM(344,898,824) = ( 344 × 898 × 824 ) / 16

LCM(344,898,824) = 254543488 / 16

LCM(344,898,824) = 15908968


Lets's calculate GCF of 56,21,535

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15908968/1

Therefore the LCM of Fractions 344/56,898/21,824/535 is 15908968

Greatest Common Factor of 56,21,535 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,21,535 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Greatest Common Factor

We found the factors 56,21,535 . The biggest common factor number is the GCF number.
So the greatest common factor 56,21,535 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 344/56, 898/21, 824/535

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 344/56, 898/21, 824/535?

Answer: LCM of Numerators as per given numbers 344/56, 898/21, 824/535 is

LCM of Numerators i.e. for 344,898,824 is 15908968

GCF of denominators i.e. for 56,21,535 is 1.

Thus, LCM of Fractions is 15908968.Finally, LCM of Fractions for 344/56, 898/21, 824/535 is 15908968.