Least Common Multiple of 310/728, 966/898, 213/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 310/728, 966/898, 213/824 quickly i.e. 5315415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 310/728, 966/898, 213/824 is 5315415.

LCM(310/728, 966/898, 213/824) = 5315415

LCM of 310/728, 966/898, 213/824

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 310/728,966/898,213/824

Given numbers are 310/728,966/898,213/824

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 310,966,213

Least Common Multiple of Numerators i.e. LCM of 310,966,213 is 10630830.

GCF of Denominators means GCF of 728,898,824 as per the given fractions.

GCF of 728,898,824 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 310,966,213

LCM of Fractions 310/728,966/898,213/824 is 5315415

2 310, 966, 213
3 155, 483, 213
155, 161, 71

∴ So the LCM of the given numbers is 2 x 3 x 155 x 161 x 71 = 10630830

Least Common Multiple of 310,966,213 with GCF Formula

Least Common Multiple of 310,966,213 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 310,966,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,966,213) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(310,966,213) x common factors =1 x 6 = 6

LCM(310,966,213) = ( 310 × 966 × 213 ) / 6

LCM(310,966,213) = 63784980 / 6

LCM(310,966,213) = 10630830


Lets's calculate GCF of 728,898,824

2 728, 898, 824
364, 449, 412

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10630830/2

Therefore the LCM of Fractions 310/728,966/898,213/824 is 5315415

Greatest Common Factor of 728,898,824 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,898,824 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Greatest Common Factor

We found the factors 728,898,824 . The biggest common factor number is the GCF number.
So the greatest common factor 728,898,824 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 310/728, 966/898, 213/824

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 310/728, 966/898, 213/824?

Answer: LCM of Numerators as per given numbers 310/728, 966/898, 213/824 is

LCM of Numerators i.e. for 310,966,213 is 10630830

GCF of denominators i.e. for 728,898,824 is 2.

Thus, LCM of Fractions is 5315415.Finally, LCM of Fractions for 310/728, 966/898, 213/824 is 5315415.