Least Common Multiple of 5489/719, 2776/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5489/719, 2776/712 quickly i.e. 15237464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5489/719, 2776/712 is 15237464.

LCM(5489/719, 2776/712) = 15237464

LCM of 5489/719, 2776/712

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 5489/719,2776/712

Given numbers are 5489/719,2776/712

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 5489,2776

Least Common Multiple of Numerators i.e. LCM of 5489,2776 is 15237464.

GCF of Denominators means GCF of 719,712 as per the given fractions.

GCF of 719,712 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5489,2776

LCM of Fractions 5489/719,2776/712 is 15237464

Given numbers has no common factors except 1. So, there LCM is their product i.e 15237464

Least Common Multiple of 5489,2776 with GCF Formula

Least Common Multiple of 5489,2776 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 5489,2776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5489,2776) = 1

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

GCF(5489,2776) x common factors =1 x 1 = 1

LCM(5489,2776) = ( 5489 × 2776 ) / 1

LCM(5489,2776) = 15237464 / 1

LCM(5489,2776) = 15237464


Lets's calculate GCF of 719,712

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15237464/1

Therefore the LCM of Fractions 5489/719,2776/712 is 15237464

Greatest Common Factor of 719,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 719,712 By Matching Biggest Common Factor Method

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 719,712 . The biggest common factor number is the GCF number.
So the greatest common factor 719,712 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5489/719, 2776/712

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 5489/719, 2776/712?

Answer: LCM of Numerators as per given numbers 5489/719, 2776/712 is

LCM of Numerators i.e. for 5489,2776 is 15237464

GCF of denominators i.e. for 719,712 is 1.

Thus, LCM of Fractions is 15237464.Finally, LCM of Fractions for 5489/719, 2776/712 is 15237464.