Least Common Multiple of 4068/704, 3645/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4068/704, 3645/954 quickly i.e. 823770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4068/704, 3645/954 is 823770.

LCM(4068/704, 3645/954) = 823770

LCM of 4068/704, 3645/954

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 4068/704,3645/954

Given numbers are 4068/704,3645/954

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 4068,3645

Least Common Multiple of Numerators i.e. LCM of 4068,3645 is 1647540.

GCF of Denominators means GCF of 704,954 as per the given fractions.

GCF of 704,954 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4068,3645

LCM of Fractions 4068/704,3645/954 is 823770

3 4068, 3645
3 1356, 1215
452, 405

∴ So the LCM of the given numbers is 3 x 3 x 452 x 405 = 1647540

Least Common Multiple of 4068,3645 with GCF Formula

Least Common Multiple of 4068,3645 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 4068,3645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4068,3645) = 9

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

GCF(4068,3645) x common factors =9 x 1 = 9

LCM(4068,3645) = ( 4068 × 3645 ) / 9

LCM(4068,3645) = 14827860 / 9

LCM(4068,3645) = 1647540


Lets's calculate GCF of 704,954

2 704, 954
352, 477

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1647540/2

Therefore the LCM of Fractions 4068/704,3645/954 is 823770

Greatest Common Factor of 704,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,954 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 704,954 . The biggest common factor number is the GCF number.
So the greatest common factor 704,954 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 4068/704, 3645/954

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 4068/704, 3645/954?

Answer: LCM of Numerators as per given numbers 4068/704, 3645/954 is

LCM of Numerators i.e. for 4068,3645 is 1647540

GCF of denominators i.e. for 704,954 is 2.

Thus, LCM of Fractions is 823770.Finally, LCM of Fractions for 4068/704, 3645/954 is 823770.