Least Common Multiple of 988/69, 5944/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 988/69, 5944/464 quickly i.e. 1468168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 988/69, 5944/464 is 1468168.

LCM(988/69, 5944/464) = 1468168

LCM of 988/69, 5944/464

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 988/69,5944/464

Given numbers are 988/69,5944/464

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 988,5944

Least Common Multiple of Numerators i.e. LCM of 988,5944 is 1468168.

GCF of Denominators means GCF of 69,464 as per the given fractions.

GCF of 69,464 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 988,5944

LCM of Fractions 988/69,5944/464 is 1468168

2 988, 5944
2 494, 2972
247, 1486

∴ So the LCM of the given numbers is 2 x 2 x 247 x 1486 = 1468168

Least Common Multiple of 988,5944 with GCF Formula

Least Common Multiple of 988,5944 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 988,5944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,5944) = 4

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

GCF(988,5944) x common factors =4 x 1 = 4

LCM(988,5944) = ( 988 × 5944 ) / 4

LCM(988,5944) = 5872672 / 4

LCM(988,5944) = 1468168


Lets's calculate GCF of 69,464

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1468168/1

Therefore the LCM of Fractions 988/69,5944/464 is 1468168

Greatest Common Factor of 69,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,464 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 69,464 . The biggest common factor number is the GCF number.
So the greatest common factor 69,464 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 988/69, 5944/464

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 988/69, 5944/464?

Answer: LCM of Numerators as per given numbers 988/69, 5944/464 is

LCM of Numerators i.e. for 988,5944 is 1468168

GCF of denominators i.e. for 69,464 is 1.

Thus, LCM of Fractions is 1468168.Finally, LCM of Fractions for 988/69, 5944/464 is 1468168.