Least Common Multiple of 105/86, 994/7672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 105/86, 994/7672 quickly i.e. 7455 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 105/86, 994/7672 is 7455.

LCM(105/86, 994/7672) = 7455

LCM of 105/86, 994/7672

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 105/86,994/7672

Given numbers are 105/86,994/7672

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 105,994

Least Common Multiple of Numerators i.e. LCM of 105,994 is 14910.

GCF of Denominators means GCF of 86,7672 as per the given fractions.

GCF of 86,7672 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 105,994

LCM of Fractions 105/86,994/7672 is 7455

7 105, 994
15, 142

∴ So the LCM of the given numbers is 7 x 15 x 142 = 14910

Least Common Multiple of 105,994 with GCF Formula

Least Common Multiple of 105,994 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 105,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,994) = 7

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

GCF(105,994) x common factors =7 x 1 = 7

LCM(105,994) = ( 105 × 994 ) / 7

LCM(105,994) = 104370 / 7

LCM(105,994) = 14910


Lets's calculate GCF of 86,7672

2 86, 7672
43, 3836

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14910/2

Therefore the LCM of Fractions 105/86,994/7672 is 7455

Greatest Common Factor of 86,7672 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,7672 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 7672

List of positive integer factors of 7672 that divides 7672 without a remainder.

1,2,4,7,8,14,28,56,137,274,548,959,1096,1918,3836,7672

Greatest Common Factor

We found the factors 86,7672 . The biggest common factor number is the GCF number.
So the greatest common factor 86,7672 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 105/86, 994/7672

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 105/86, 994/7672?

Answer: LCM of Numerators as per given numbers 105/86, 994/7672 is

LCM of Numerators i.e. for 105,994 is 14910

GCF of denominators i.e. for 86,7672 is 2.

Thus, LCM of Fractions is 7455.Finally, LCM of Fractions for 105/86, 994/7672 is 7455.