Least Common Multiple of 9944/514, 1408/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9944/514, 1408/725 quickly i.e. 159104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9944/514, 1408/725 is 159104.

LCM(9944/514, 1408/725) = 159104

LCM of 9944/514, 1408/725

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 9944/514,1408/725

Given numbers are 9944/514,1408/725

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 9944,1408

Least Common Multiple of Numerators i.e. LCM of 9944,1408 is 159104.

GCF of Denominators means GCF of 514,725 as per the given fractions.

GCF of 514,725 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9944,1408

LCM of Fractions 9944/514,1408/725 is 159104

2 9944, 1408
2 4972, 704
2 2486, 352
11 1243, 176
113, 16

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 113 x 16 = 159104

Least Common Multiple of 9944,1408 with GCF Formula

Least Common Multiple of 9944,1408 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 9944,1408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9944,1408) = 88

common factors(in case of two or more numbers have common factors) = 1

GCF(9944,1408) x common factors =88 x 1 = 88

LCM(9944,1408) = ( 9944 × 1408 ) / 88

LCM(9944,1408) = 14001152 / 88

LCM(9944,1408) = 159104


Lets's calculate GCF of 514,725

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159104/1

Therefore the LCM of Fractions 9944/514,1408/725 is 159104

Greatest Common Factor of 514,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 514,725 By Matching Biggest Common Factor Method

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Greatest Common Factor

We found the factors 514,725 . The biggest common factor number is the GCF number.
So the greatest common factor 514,725 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 9944/514, 1408/725

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 9944/514, 1408/725?

Answer: LCM of Numerators as per given numbers 9944/514, 1408/725 is

LCM of Numerators i.e. for 9944,1408 is 159104

GCF of denominators i.e. for 514,725 is 1.

Thus, LCM of Fractions is 159104.Finally, LCM of Fractions for 9944/514, 1408/725 is 159104.