Least Common Multiple of 365/785, 668/145, 568/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 365/785, 668/145, 568/640 quickly i.e. 6924488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 365/785, 668/145, 568/640 is 6924488.

LCM(365/785, 668/145, 568/640) = 6924488

LCM of 365/785, 668/145, 568/640

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 365/785,668/145,568/640

Given numbers are 365/785,668/145,568/640

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 365,668,568

Least Common Multiple of Numerators i.e. LCM of 365,668,568 is 34622440.

GCF of Denominators means GCF of 785,145,640 as per the given fractions.

GCF of 785,145,640 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 365,668,568

LCM of Fractions 365/785,668/145,568/640 is 6924488

2 365, 668, 568
2 365, 334, 284
365, 167, 142

∴ So the LCM of the given numbers is 2 x 2 x 365 x 167 x 142 = 34622440

Least Common Multiple of 365,668,568 with GCF Formula

Least Common Multiple of 365,668,568 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 365,668,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,668,568) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(365,668,568) x common factors =1 x 4 = 4

LCM(365,668,568) = ( 365 × 668 × 568 ) / 4

LCM(365,668,568) = 138489760 / 4

LCM(365,668,568) = 34622440


Lets's calculate GCF of 785,145,640

5 785, 145, 640
157, 29, 128

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34622440/5

Therefore the LCM of Fractions 365/785,668/145,568/640 is 6924488

Greatest Common Factor of 785,145,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 785,145,640 By Matching Biggest Common Factor Method

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 785,145,640 . The biggest common factor number is the GCF number.
So the greatest common factor 785,145,640 is 5.


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 365/785, 668/145, 568/640

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 365/785, 668/145, 568/640?

Answer: LCM of Numerators as per given numbers 365/785, 668/145, 568/640 is

LCM of Numerators i.e. for 365,668,568 is 34622440

GCF of denominators i.e. for 785,145,640 is 5.

Thus, LCM of Fractions is 6924488.Finally, LCM of Fractions for 365/785, 668/145, 568/640 is 6924488.