Least Common Multiple of 369/80, 496/96, 875/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 369/80, 496/96, 875/814 quickly i.e. 80073000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 369/80, 496/96, 875/814 is 80073000.

LCM(369/80, 496/96, 875/814) = 80073000

LCM of 369/80, 496/96, 875/814

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 369/80,496/96,875/814

Given numbers are 369/80,496/96,875/814

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 369,496,875

Least Common Multiple of Numerators i.e. LCM of 369,496,875 is 160146000.

GCF of Denominators means GCF of 80,96,814 as per the given fractions.

GCF of 80,96,814 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 369,496,875

LCM of Fractions 369/80,496/96,875/814 is 80073000

Given numbers has no common factors except 1. So, there LCM is their product i.e 160146000

Least Common Multiple of 369,496,875 with GCF Formula

Least Common Multiple of 369,496,875 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 369,496,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,496,875) = 1

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

GCF(369,496,875) x common factors =1 x 1 = 1

LCM(369,496,875) = ( 369 × 496 × 875 ) / 1

LCM(369,496,875) = 160146000 / 1

LCM(369,496,875) = 160146000


Lets's calculate GCF of 80,96,814

2 80, 96, 814
40, 48, 407

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160146000/2

Therefore the LCM of Fractions 369/80,496/96,875/814 is 80073000

Greatest Common Factor of 80,96,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,96,814 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 80,96,814 . The biggest common factor number is the GCF number.
So the greatest common factor 80,96,814 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 369/80, 496/96, 875/814

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 369/80, 496/96, 875/814?

Answer: LCM of Numerators as per given numbers 369/80, 496/96, 875/814 is

LCM of Numerators i.e. for 369,496,875 is 160146000

GCF of denominators i.e. for 80,96,814 is 2.

Thus, LCM of Fractions is 80073000.Finally, LCM of Fractions for 369/80, 496/96, 875/814 is 80073000.