Least Common Multiple of 48/814, 471/252, 182/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/814, 471/252, 182/572 quickly i.e. 342888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/814, 471/252, 182/572 is 342888.

LCM(48/814, 471/252, 182/572) = 342888

LCM of 48/814, 471/252, 182/572

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 48/814,471/252,182/572

Given numbers are 48/814,471/252,182/572

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 48,471,182

Least Common Multiple of Numerators i.e. LCM of 48,471,182 is 685776.

GCF of Denominators means GCF of 814,252,572 as per the given fractions.

GCF of 814,252,572 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,471,182

LCM of Fractions 48/814,471/252,182/572 is 342888

2 48, 471, 182
3 24, 471, 91
8, 157, 91

∴ So the LCM of the given numbers is 2 x 3 x 8 x 157 x 91 = 685776

Least Common Multiple of 48,471,182 with GCF Formula

Least Common Multiple of 48,471,182 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 48,471,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,471,182) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(48,471,182) x common factors =1 x 6 = 6

LCM(48,471,182) = ( 48 × 471 × 182 ) / 6

LCM(48,471,182) = 4114656 / 6

LCM(48,471,182) = 685776


Lets's calculate GCF of 814,252,572

2 814, 252, 572
407, 126, 286

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 685776/2

Therefore the LCM of Fractions 48/814,471/252,182/572 is 342888

Greatest Common Factor of 814,252,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,252,572 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 814,252,572 . The biggest common factor number is the GCF number.
So the greatest common factor 814,252,572 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 48/814, 471/252, 182/572

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 48/814, 471/252, 182/572?

Answer: LCM of Numerators as per given numbers 48/814, 471/252, 182/572 is

LCM of Numerators i.e. for 48,471,182 is 685776

GCF of denominators i.e. for 814,252,572 is 2.

Thus, LCM of Fractions is 342888.Finally, LCM of Fractions for 48/814, 471/252, 182/572 is 342888.