Least Common Multiple of 4116/804, 2350/6790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4116/804, 2350/6790 quickly i.e. 2418150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4116/804, 2350/6790 is 2418150.

LCM(4116/804, 2350/6790) = 2418150

LCM of 4116/804, 2350/6790

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 4116/804,2350/6790

Given numbers are 4116/804,2350/6790

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 4116,2350

Least Common Multiple of Numerators i.e. LCM of 4116,2350 is 4836300.

GCF of Denominators means GCF of 804,6790 as per the given fractions.

GCF of 804,6790 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4116,2350

LCM of Fractions 4116/804,2350/6790 is 2418150

2 4116, 2350
2058, 1175

∴ So the LCM of the given numbers is 2 x 2058 x 1175 = 4836300

Least Common Multiple of 4116,2350 with GCF Formula

Least Common Multiple of 4116,2350 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 4116,2350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4116,2350) = 2

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

GCF(4116,2350) x common factors =2 x 1 = 2

LCM(4116,2350) = ( 4116 × 2350 ) / 2

LCM(4116,2350) = 9672600 / 2

LCM(4116,2350) = 4836300


Lets's calculate GCF of 804,6790

2 804, 6790
402, 3395

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4836300/2

Therefore the LCM of Fractions 4116/804,2350/6790 is 2418150

Greatest Common Factor of 804,6790 By Matching Biggest Common Factor Method

Greatest Common Factor of 804,6790 By Matching Biggest Common Factor Method

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 6790

List of positive integer factors of 6790 that divides 6790 without a remainder.

1,2,5,7,10,14,35,70,97,194,485,679,970,1358,3395,6790

Greatest Common Factor

We found the factors 804,6790 . The biggest common factor number is the GCF number.
So the greatest common factor 804,6790 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 4116/804, 2350/6790

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 4116/804, 2350/6790?

Answer: LCM of Numerators as per given numbers 4116/804, 2350/6790 is

LCM of Numerators i.e. for 4116,2350 is 4836300

GCF of denominators i.e. for 804,6790 is 2.

Thus, LCM of Fractions is 2418150.Finally, LCM of Fractions for 4116/804, 2350/6790 is 2418150.