Least Common Multiple of 64/880, 9060/3588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/880, 9060/3588 quickly i.e. 36240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/880, 9060/3588 is 36240.

LCM(64/880, 9060/3588) = 36240

LCM of 64/880, 9060/3588

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 64/880,9060/3588

Given numbers are 64/880,9060/3588

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 64,9060

Least Common Multiple of Numerators i.e. LCM of 64,9060 is 144960.

GCF of Denominators means GCF of 880,3588 as per the given fractions.

GCF of 880,3588 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,9060

LCM of Fractions 64/880,9060/3588 is 36240

2 64, 9060
2 32, 4530
16, 2265

∴ So the LCM of the given numbers is 2 x 2 x 16 x 2265 = 144960

Least Common Multiple of 64,9060 with GCF Formula

Least Common Multiple of 64,9060 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 64,9060 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,9060) = 4

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

GCF(64,9060) x common factors =4 x 1 = 4

LCM(64,9060) = ( 64 × 9060 ) / 4

LCM(64,9060) = 579840 / 4

LCM(64,9060) = 144960


Lets's calculate GCF of 880,3588

2 880, 3588
2 440, 1794
220, 897

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144960/4

Therefore the LCM of Fractions 64/880,9060/3588 is 36240

Greatest Common Factor of 880,3588 By Matching Biggest Common Factor Method

Greatest Common Factor of 880,3588 By Matching Biggest Common Factor Method

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Factors of 3588

List of positive integer factors of 3588 that divides 3588 without a remainder.

1,2,3,4,6,12,13,23,26,39,46,52,69,78,92,138,156,276,299,598,897,1196,1794,3588

Greatest Common Factor

We found the factors 880,3588 . The biggest common factor number is the GCF number.
So the greatest common factor 880,3588 is 4.


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 64/880, 9060/3588

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 64/880, 9060/3588?

Answer: LCM of Numerators as per given numbers 64/880, 9060/3588 is

LCM of Numerators i.e. for 64,9060 is 144960

GCF of denominators i.e. for 880,3588 is 4.

Thus, LCM of Fractions is 36240.Finally, LCM of Fractions for 64/880, 9060/3588 is 36240.