Least Common Multiple of 4335/280, 2168/6574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4335/280, 2168/6574 quickly i.e. 4699140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4335/280, 2168/6574 is 4699140.

LCM(4335/280, 2168/6574) = 4699140

LCM of 4335/280, 2168/6574

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 4335/280,2168/6574

Given numbers are 4335/280,2168/6574

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 4335,2168

Least Common Multiple of Numerators i.e. LCM of 4335,2168 is 9398280.

GCF of Denominators means GCF of 280,6574 as per the given fractions.

GCF of 280,6574 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4335,2168

LCM of Fractions 4335/280,2168/6574 is 4699140

Given numbers has no common factors except 1. So, there LCM is their product i.e 9398280

Least Common Multiple of 4335,2168 with GCF Formula

Least Common Multiple of 4335,2168 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 4335,2168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4335,2168) = 1

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

GCF(4335,2168) x common factors =1 x 1 = 1

LCM(4335,2168) = ( 4335 × 2168 ) / 1

LCM(4335,2168) = 9398280 / 1

LCM(4335,2168) = 9398280


Lets's calculate GCF of 280,6574

2 280, 6574
140, 3287

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9398280/2

Therefore the LCM of Fractions 4335/280,2168/6574 is 4699140

Greatest Common Factor of 280,6574 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,6574 By Matching Biggest Common Factor Method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 6574

List of positive integer factors of 6574 that divides 6574 without a remainder.

1,2,19,38,173,346,3287,6574

Greatest Common Factor

We found the factors 280,6574 . The biggest common factor number is the GCF number.
So the greatest common factor 280,6574 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 4335/280, 2168/6574

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 4335/280, 2168/6574?

Answer: LCM of Numerators as per given numbers 4335/280, 2168/6574 is

LCM of Numerators i.e. for 4335,2168 is 9398280

GCF of denominators i.e. for 280,6574 is 2.

Thus, LCM of Fractions is 4699140.Finally, LCM of Fractions for 4335/280, 2168/6574 is 4699140.