Least Common Multiple of 6078/746, 6830/3707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6078/746, 6830/3707 quickly i.e. 20756370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6078/746, 6830/3707 is 20756370.

LCM(6078/746, 6830/3707) = 20756370

LCM of 6078/746, 6830/3707

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 6078/746,6830/3707

Given numbers are 6078/746,6830/3707

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 6078,6830

Least Common Multiple of Numerators i.e. LCM of 6078,6830 is 20756370.

GCF of Denominators means GCF of 746,3707 as per the given fractions.

GCF of 746,3707 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6078,6830

LCM of Fractions 6078/746,6830/3707 is 20756370

2 6078, 6830
3039, 3415

∴ So the LCM of the given numbers is 2 x 3039 x 3415 = 20756370

Least Common Multiple of 6078,6830 with GCF Formula

Least Common Multiple of 6078,6830 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 6078,6830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6078,6830) = 2

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

GCF(6078,6830) x common factors =2 x 1 = 2

LCM(6078,6830) = ( 6078 × 6830 ) / 2

LCM(6078,6830) = 41512740 / 2

LCM(6078,6830) = 20756370


Lets's calculate GCF of 746,3707

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20756370/1

Therefore the LCM of Fractions 6078/746,6830/3707 is 20756370

Greatest Common Factor of 746,3707 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,3707 By Matching Biggest Common Factor Method

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 3707

List of positive integer factors of 3707 that divides 3707 without a remainder.

1,11,337,3707

Greatest Common Factor

We found the factors 746,3707 . The biggest common factor number is the GCF number.
So the greatest common factor 746,3707 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 6078/746, 6830/3707

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 6078/746, 6830/3707?

Answer: LCM of Numerators as per given numbers 6078/746, 6830/3707 is

LCM of Numerators i.e. for 6078,6830 is 20756370

GCF of denominators i.e. for 746,3707 is 1.

Thus, LCM of Fractions is 20756370.Finally, LCM of Fractions for 6078/746, 6830/3707 is 20756370.