Least Common Multiple of 808/282, 188/803, 940/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 808/282, 188/803, 940/562 quickly i.e. 189880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 808/282, 188/803, 940/562 is 189880.

LCM(808/282, 188/803, 940/562) = 189880

LCM of 808/282, 188/803, 940/562

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 808/282,188/803,940/562

Given numbers are 808/282,188/803,940/562

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 808,188,940

Least Common Multiple of Numerators i.e. LCM of 808,188,940 is 189880.

GCF of Denominators means GCF of 282,803,562 as per the given fractions.

GCF of 282,803,562 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 808,188,940

LCM of Fractions 808/282,188/803,940/562 is 189880

2 808, 188, 940
2 404, 94, 470
47 202, 47, 235
202, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 47 x 202 x 1 x 5 = 189880

Least Common Multiple of 808,188,940 with GCF Formula

Least Common Multiple of 808,188,940 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 808,188,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,188,940) = 4

common factors(in case of two or more numbers have common factors) = 188

GCF(808,188,940) x common factors =4 x 188 = 752

LCM(808,188,940) = ( 808 × 188 × 940 ) / 752

LCM(808,188,940) = 142789760 / 752

LCM(808,188,940) = 189880


Lets's calculate GCF of 282,803,562

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189880/1

Therefore the LCM of Fractions 808/282,188/803,940/562 is 189880

Greatest Common Factor of 282,803,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,803,562 By Matching Biggest Common Factor Method

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 282,803,562 . The biggest common factor number is the GCF number.
So the greatest common factor 282,803,562 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 808/282, 188/803, 940/562

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 808/282, 188/803, 940/562?

Answer: LCM of Numerators as per given numbers 808/282, 188/803, 940/562 is

LCM of Numerators i.e. for 808,188,940 is 189880

GCF of denominators i.e. for 282,803,562 is 1.

Thus, LCM of Fractions is 189880.Finally, LCM of Fractions for 808/282, 188/803, 940/562 is 189880.