Least Common Multiple of 5992/858, 6012/9114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5992/858, 6012/9114 quickly i.e. 1500996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5992/858, 6012/9114 is 1500996.

LCM(5992/858, 6012/9114) = 1500996

LCM of 5992/858, 6012/9114

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 5992/858,6012/9114

Given numbers are 5992/858,6012/9114

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 5992,6012

Least Common Multiple of Numerators i.e. LCM of 5992,6012 is 9005976.

GCF of Denominators means GCF of 858,9114 as per the given fractions.

GCF of 858,9114 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5992,6012

LCM of Fractions 5992/858,6012/9114 is 1500996

2 5992, 6012
2 2996, 3006
1498, 1503

∴ So the LCM of the given numbers is 2 x 2 x 1498 x 1503 = 9005976

Least Common Multiple of 5992,6012 with GCF Formula

Least Common Multiple of 5992,6012 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 5992,6012 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5992,6012) = 4

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

GCF(5992,6012) x common factors =4 x 1 = 4

LCM(5992,6012) = ( 5992 × 6012 ) / 4

LCM(5992,6012) = 36023904 / 4

LCM(5992,6012) = 9005976


Lets's calculate GCF of 858,9114

2 858, 9114
3 429, 4557
143, 1519

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9005976/6

Therefore the LCM of Fractions 5992/858,6012/9114 is 1500996

Greatest Common Factor of 858,9114 By Matching Biggest Common Factor Method

Greatest Common Factor of 858,9114 By Matching Biggest Common Factor Method

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 9114

List of positive integer factors of 9114 that divides 9114 without a remainder.

1,2,3,6,7,14,21,31,42,49,62,93,98,147,186,217,294,434,651,1302,1519,3038,4557,9114

Greatest Common Factor

We found the factors 858,9114 . The biggest common factor number is the GCF number.
So the greatest common factor 858,9114 is 6.


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 5992/858, 6012/9114

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 5992/858, 6012/9114?

Answer: LCM of Numerators as per given numbers 5992/858, 6012/9114 is

LCM of Numerators i.e. for 5992,6012 is 9005976

GCF of denominators i.e. for 858,9114 is 6.

Thus, LCM of Fractions is 1500996.Finally, LCM of Fractions for 5992/858, 6012/9114 is 1500996.