Least Common Multiple of 99/696, 306/839, 816/719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/696, 306/839, 816/719 quickly i.e. 26928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/696, 306/839, 816/719 is 26928.

LCM(99/696, 306/839, 816/719) = 26928

LCM of 99/696, 306/839, 816/719

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 99/696,306/839,816/719

Given numbers are 99/696,306/839,816/719

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 99,306,816

Least Common Multiple of Numerators i.e. LCM of 99,306,816 is 26928.

GCF of Denominators means GCF of 696,839,719 as per the given fractions.

GCF of 696,839,719 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,306,816

LCM of Fractions 99/696,306/839,816/719 is 26928

2 99, 306, 816
3 99, 153, 408
3 33, 51, 136
17 11, 17, 136
11, 1, 8

∴ So the LCM of the given numbers is 2 x 3 x 3 x 17 x 11 x 1 x 8 = 26928

Least Common Multiple of 99,306,816 with GCF Formula

Least Common Multiple of 99,306,816 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 99,306,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,306,816) = 3

common factors(in case of two or more numbers have common factors) = 306

GCF(99,306,816) x common factors =3 x 306 = 918

LCM(99,306,816) = ( 99 × 306 × 816 ) / 918

LCM(99,306,816) = 24719904 / 918

LCM(99,306,816) = 26928


Lets's calculate GCF of 696,839,719

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26928/1

Therefore the LCM of Fractions 99/696,306/839,816/719 is 26928

Greatest Common Factor of 696,839,719 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,839,719 By Matching Biggest Common Factor Method

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Greatest Common Factor

We found the factors 696,839,719 . The biggest common factor number is the GCF number.
So the greatest common factor 696,839,719 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 99/696, 306/839, 816/719

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 99/696, 306/839, 816/719?

Answer: LCM of Numerators as per given numbers 99/696, 306/839, 816/719 is

LCM of Numerators i.e. for 99,306,816 is 26928

GCF of denominators i.e. for 696,839,719 is 1.

Thus, LCM of Fractions is 26928.Finally, LCM of Fractions for 99/696, 306/839, 816/719 is 26928.