Least Common Multiple of 5569/310, 3690/2968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5569/310, 3690/2968 quickly i.e. 10274805 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5569/310, 3690/2968 is 10274805.

LCM(5569/310, 3690/2968) = 10274805

LCM of 5569/310, 3690/2968

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 5569/310,3690/2968

Given numbers are 5569/310,3690/2968

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 5569,3690

Least Common Multiple of Numerators i.e. LCM of 5569,3690 is 20549610.

GCF of Denominators means GCF of 310,2968 as per the given fractions.

GCF of 310,2968 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5569,3690

LCM of Fractions 5569/310,3690/2968 is 10274805

Given numbers has no common factors except 1. So, there LCM is their product i.e 20549610

Least Common Multiple of 5569,3690 with GCF Formula

Least Common Multiple of 5569,3690 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 5569,3690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5569,3690) = 1

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

GCF(5569,3690) x common factors =1 x 1 = 1

LCM(5569,3690) = ( 5569 × 3690 ) / 1

LCM(5569,3690) = 20549610 / 1

LCM(5569,3690) = 20549610


Lets's calculate GCF of 310,2968

2 310, 2968
155, 1484

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20549610/2

Therefore the LCM of Fractions 5569/310,3690/2968 is 10274805

Greatest Common Factor of 310,2968 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,2968 By Matching Biggest Common Factor Method

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 2968

List of positive integer factors of 2968 that divides 2968 without a remainder.

1,2,4,7,8,14,28,53,56,106,212,371,424,742,1484,2968

Greatest Common Factor

We found the factors 310,2968 . The biggest common factor number is the GCF number.
So the greatest common factor 310,2968 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 5569/310, 3690/2968

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 5569/310, 3690/2968?

Answer: LCM of Numerators as per given numbers 5569/310, 3690/2968 is

LCM of Numerators i.e. for 5569,3690 is 20549610

GCF of denominators i.e. for 310,2968 is 2.

Thus, LCM of Fractions is 10274805.Finally, LCM of Fractions for 5569/310, 3690/2968 is 10274805.