Least Common Multiple of 5868/700, 6192/5801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5868/700, 6192/5801 quickly i.e. 1009296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5868/700, 6192/5801 is 1009296.

LCM(5868/700, 6192/5801) = 1009296

LCM of 5868/700, 6192/5801

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 5868/700,6192/5801

Given numbers are 5868/700,6192/5801

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 5868,6192

Least Common Multiple of Numerators i.e. LCM of 5868,6192 is 1009296.

GCF of Denominators means GCF of 700,5801 as per the given fractions.

GCF of 700,5801 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5868,6192

LCM of Fractions 5868/700,6192/5801 is 1009296

2 5868, 6192
2 2934, 3096
3 1467, 1548
3 489, 516
163, 172

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 163 x 172 = 1009296

Least Common Multiple of 5868,6192 with GCF Formula

Least Common Multiple of 5868,6192 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 5868,6192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5868,6192) = 36

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

GCF(5868,6192) x common factors =36 x 1 = 36

LCM(5868,6192) = ( 5868 × 6192 ) / 36

LCM(5868,6192) = 36334656 / 36

LCM(5868,6192) = 1009296


Lets's calculate GCF of 700,5801

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1009296/1

Therefore the LCM of Fractions 5868/700,6192/5801 is 1009296

Greatest Common Factor of 700,5801 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,5801 By Matching Biggest Common Factor Method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 5801

List of positive integer factors of 5801 that divides 5801 without a remainder.

1,5801

Greatest Common Factor

We found the factors 700,5801 . The biggest common factor number is the GCF number.
So the greatest common factor 700,5801 is 1.


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 5868/700, 6192/5801

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 5868/700, 6192/5801?

Answer: LCM of Numerators as per given numbers 5868/700, 6192/5801 is

LCM of Numerators i.e. for 5868,6192 is 1009296

GCF of denominators i.e. for 700,5801 is 1.

Thus, LCM of Fractions is 1009296.Finally, LCM of Fractions for 5868/700, 6192/5801 is 1009296.