Least Common Multiple of 8662/760, 9505/8170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8662/760, 9505/8170 quickly i.e. 82332310/190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8662/760, 9505/8170 is 82332310/190.

LCM(8662/760, 9505/8170) = 82332310/190

LCM of 8662/760, 9505/8170

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 8662/760,9505/8170

Given numbers are 8662/760,9505/8170

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 8662,9505

Least Common Multiple of Numerators i.e. LCM of 8662,9505 is 82332310.

GCF of Denominators means GCF of 760,8170 as per the given fractions.

GCF of 760,8170 is 190 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8662,9505

LCM of Fractions 8662/760,9505/8170 is 82332310/190

Given numbers has no common factors except 1. So, there LCM is their product i.e 82332310

Least Common Multiple of 8662,9505 with GCF Formula

Least Common Multiple of 8662,9505 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 8662,9505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8662,9505) = 1

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

GCF(8662,9505) x common factors =1 x 1 = 1

LCM(8662,9505) = ( 8662 × 9505 ) / 1

LCM(8662,9505) = 82332310 / 1

LCM(8662,9505) = 82332310


Lets's calculate GCF of 760,8170

2 760, 8170
5 380, 4085
19 76, 817
4, 43

∴ So the GCF of the given numbers is 2 x 5 x 19 = 190

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82332310/190

Therefore the LCM of Fractions 8662/760,9505/8170 is 82332310/190

Greatest Common Factor of 760,8170 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,8170 By Matching Biggest Common Factor Method

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 8170

List of positive integer factors of 8170 that divides 8170 without a remainder.

1,2,5,10,19,38,43,86,95,190,215,430,817,1634,4085,8170

Greatest Common Factor

We found the factors 760,8170 . The biggest common factor number is the GCF number.
So the greatest common factor 760,8170 is 190.


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 8662/760, 9505/8170

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 8662/760, 9505/8170?

Answer: LCM of Numerators as per given numbers 8662/760, 9505/8170 is

LCM of Numerators i.e. for 8662,9505 is 82332310

GCF of denominators i.e. for 760,8170 is 190.

Thus, LCM of Fractions is 82332310/190.Finally, LCM of Fractions for 8662/760, 9505/8170 is 82332310/190.