Least Common Multiple of 8960/945, 3208/9408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8960/945, 3208/9408 quickly i.e. 3592960/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8960/945, 3208/9408 is 3592960/21.

LCM(8960/945, 3208/9408) = 3592960/21

LCM of 8960/945, 3208/9408

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 8960/945,3208/9408

Given numbers are 8960/945,3208/9408

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 8960,3208

Least Common Multiple of Numerators i.e. LCM of 8960,3208 is 3592960.

GCF of Denominators means GCF of 945,9408 as per the given fractions.

GCF of 945,9408 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8960,3208

LCM of Fractions 8960/945,3208/9408 is 3592960/21

2 8960, 3208
2 4480, 1604
2 2240, 802
1120, 401

∴ So the LCM of the given numbers is 2 x 2 x 2 x 1120 x 401 = 3592960

Least Common Multiple of 8960,3208 with GCF Formula

Least Common Multiple of 8960,3208 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 8960,3208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8960,3208) = 8

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

GCF(8960,3208) x common factors =8 x 1 = 8

LCM(8960,3208) = ( 8960 × 3208 ) / 8

LCM(8960,3208) = 28743680 / 8

LCM(8960,3208) = 3592960


Lets's calculate GCF of 945,9408

3 945, 9408
7 315, 3136
45, 448

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3592960/21

Therefore the LCM of Fractions 8960/945,3208/9408 is 3592960/21

Greatest Common Factor of 945,9408 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,9408 By Matching Biggest Common Factor Method

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 9408

List of positive integer factors of 9408 that divides 9408 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,49,56,64,84,96,98,112,147,168,192,196,224,294,336,392,448,588,672,784,1176,1344,1568,2352,3136,4704,9408

Greatest Common Factor

We found the factors 945,9408 . The biggest common factor number is the GCF number.
So the greatest common factor 945,9408 is 21.


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 8960/945, 3208/9408

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 8960/945, 3208/9408?

Answer: LCM of Numerators as per given numbers 8960/945, 3208/9408 is

LCM of Numerators i.e. for 8960,3208 is 3592960

GCF of denominators i.e. for 945,9408 is 21.

Thus, LCM of Fractions is 3592960/21.Finally, LCM of Fractions for 8960/945, 3208/9408 is 3592960/21.