Least Common Multiple of 7170/984, 8995/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7170/984, 8995/860 quickly i.e. 12898830/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7170/984, 8995/860 is 12898830/4.

LCM(7170/984, 8995/860) = 12898830/4

LCM of 7170/984, 8995/860

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 7170/984,8995/860

Given numbers are 7170/984,8995/860

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 7170,8995

Least Common Multiple of Numerators i.e. LCM of 7170,8995 is 12898830.

GCF of Denominators means GCF of 984,860 as per the given fractions.

GCF of 984,860 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7170,8995

LCM of Fractions 7170/984,8995/860 is 12898830/4

5 7170, 8995
1434, 1799

∴ So the LCM of the given numbers is 5 x 1434 x 1799 = 12898830

Least Common Multiple of 7170,8995 with GCF Formula

Least Common Multiple of 7170,8995 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 7170,8995 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7170,8995) = 5

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

GCF(7170,8995) x common factors =5 x 1 = 5

LCM(7170,8995) = ( 7170 × 8995 ) / 5

LCM(7170,8995) = 64494150 / 5

LCM(7170,8995) = 12898830


Lets's calculate GCF of 984,860

2 984, 860
2 492, 430
246, 215

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12898830/4

Therefore the LCM of Fractions 7170/984,8995/860 is 12898830/4

Greatest Common Factor of 984,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 984,860 By Matching Biggest Common Factor Method

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 984,860 . The biggest common factor number is the GCF number.
So the greatest common factor 984,860 is 4.


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 7170/984, 8995/860

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 7170/984, 8995/860?

Answer: LCM of Numerators as per given numbers 7170/984, 8995/860 is

LCM of Numerators i.e. for 7170,8995 is 12898830

GCF of denominators i.e. for 984,860 is 4.

Thus, LCM of Fractions is 12898830/4.Finally, LCM of Fractions for 7170/984, 8995/860 is 12898830/4.