Least Common Multiple of 4488/711, 3416/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4488/711, 3416/998 quickly i.e. 1916376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4488/711, 3416/998 is 1916376.

LCM(4488/711, 3416/998) = 1916376

LCM of 4488/711, 3416/998

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 4488/711,3416/998

Given numbers are 4488/711,3416/998

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 4488,3416

Least Common Multiple of Numerators i.e. LCM of 4488,3416 is 1916376.

GCF of Denominators means GCF of 711,998 as per the given fractions.

GCF of 711,998 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4488,3416

LCM of Fractions 4488/711,3416/998 is 1916376

2 4488, 3416
2 2244, 1708
2 1122, 854
561, 427

∴ So the LCM of the given numbers is 2 x 2 x 2 x 561 x 427 = 1916376

Least Common Multiple of 4488,3416 with GCF Formula

Least Common Multiple of 4488,3416 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 4488,3416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4488,3416) = 8

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

GCF(4488,3416) x common factors =8 x 1 = 8

LCM(4488,3416) = ( 4488 × 3416 ) / 8

LCM(4488,3416) = 15331008 / 8

LCM(4488,3416) = 1916376


Lets's calculate GCF of 711,998

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1916376/1

Therefore the LCM of Fractions 4488/711,3416/998 is 1916376

Greatest Common Factor of 711,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 711,998 By Matching Biggest Common Factor Method

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 711,998 . The biggest common factor number is the GCF number.
So the greatest common factor 711,998 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4488/711, 3416/998

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 4488/711, 3416/998?

Answer: LCM of Numerators as per given numbers 4488/711, 3416/998 is

LCM of Numerators i.e. for 4488,3416 is 1916376

GCF of denominators i.e. for 711,998 is 1.

Thus, LCM of Fractions is 1916376.Finally, LCM of Fractions for 4488/711, 3416/998 is 1916376.