Least Common Multiple of 9170/142, 4158/1194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9170/142, 4158/1194 quickly i.e. 1361745 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9170/142, 4158/1194 is 1361745.

LCM(9170/142, 4158/1194) = 1361745

LCM of 9170/142, 4158/1194

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 9170/142,4158/1194

Given numbers are 9170/142,4158/1194

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 9170,4158

Least Common Multiple of Numerators i.e. LCM of 9170,4158 is 2723490.

GCF of Denominators means GCF of 142,1194 as per the given fractions.

GCF of 142,1194 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9170,4158

LCM of Fractions 9170/142,4158/1194 is 1361745

2 9170, 4158
7 4585, 2079
655, 297

∴ So the LCM of the given numbers is 2 x 7 x 655 x 297 = 2723490

Least Common Multiple of 9170,4158 with GCF Formula

Least Common Multiple of 9170,4158 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 9170,4158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9170,4158) = 14

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

GCF(9170,4158) x common factors =14 x 1 = 14

LCM(9170,4158) = ( 9170 × 4158 ) / 14

LCM(9170,4158) = 38128860 / 14

LCM(9170,4158) = 2723490


Lets's calculate GCF of 142,1194

2 142, 1194
71, 597

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2723490/2

Therefore the LCM of Fractions 9170/142,4158/1194 is 1361745

Greatest Common Factor of 142,1194 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,1194 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 1194

List of positive integer factors of 1194 that divides 1194 without a remainder.

1,2,3,6,199,398,597,1194

Greatest Common Factor

We found the factors 142,1194 . The biggest common factor number is the GCF number.
So the greatest common factor 142,1194 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 9170/142, 4158/1194

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 9170/142, 4158/1194?

Answer: LCM of Numerators as per given numbers 9170/142, 4158/1194 is

LCM of Numerators i.e. for 9170,4158 is 2723490

GCF of denominators i.e. for 142,1194 is 2.

Thus, LCM of Fractions is 1361745.Finally, LCM of Fractions for 9170/142, 4158/1194 is 1361745.