Least Common Multiple of 588/448, 557/846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 588/448, 557/846 quickly i.e. 163758 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 588/448, 557/846 is 163758.

LCM(588/448, 557/846) = 163758

LCM of 588/448, 557/846

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 588/448,557/846

Given numbers are 588/448,557/846

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 588,557

Least Common Multiple of Numerators i.e. LCM of 588,557 is 327516.

GCF of Denominators means GCF of 448,846 as per the given fractions.

GCF of 448,846 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 588,557

LCM of Fractions 588/448,557/846 is 163758

Given numbers has no common factors except 1. So, there LCM is their product i.e 327516

Least Common Multiple of 588,557 with GCF Formula

Least Common Multiple of 588,557 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 588,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(588,557) = 1

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

GCF(588,557) x common factors =1 x 1 = 1

LCM(588,557) = ( 588 × 557 ) / 1

LCM(588,557) = 327516 / 1

LCM(588,557) = 327516


Lets's calculate GCF of 448,846

2 448, 846
224, 423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 327516/2

Therefore the LCM of Fractions 588/448,557/846 is 163758

Greatest Common Factor of 448,846 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,846 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Greatest Common Factor

We found the factors 448,846 . The biggest common factor number is the GCF number.
So the greatest common factor 448,846 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 588/448, 557/846

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 588/448, 557/846?

Answer: LCM of Numerators as per given numbers 588/448, 557/846 is

LCM of Numerators i.e. for 588,557 is 327516

GCF of denominators i.e. for 448,846 is 2.

Thus, LCM of Fractions is 163758.Finally, LCM of Fractions for 588/448, 557/846 is 163758.