Least Common Multiple of 440/812, 488/943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 440/812, 488/943 quickly i.e. 26840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 440/812, 488/943 is 26840.

LCM(440/812, 488/943) = 26840

LCM of 440/812, 488/943

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 440/812,488/943

Given numbers are 440/812,488/943

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 440,488

Least Common Multiple of Numerators i.e. LCM of 440,488 is 26840.

GCF of Denominators means GCF of 812,943 as per the given fractions.

GCF of 812,943 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 440,488

LCM of Fractions 440/812,488/943 is 26840

2 440, 488
2 220, 244
2 110, 122
55, 61

∴ So the LCM of the given numbers is 2 x 2 x 2 x 55 x 61 = 26840

Least Common Multiple of 440,488 with GCF Formula

Least Common Multiple of 440,488 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 440,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(440,488) = 8

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

GCF(440,488) x common factors =8 x 1 = 8

LCM(440,488) = ( 440 × 488 ) / 8

LCM(440,488) = 214720 / 8

LCM(440,488) = 26840


Lets's calculate GCF of 812,943

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26840/1

Therefore the LCM of Fractions 440/812,488/943 is 26840

Greatest Common Factor of 812,943 By Matching Biggest Common Factor Method

Greatest Common Factor of 812,943 By Matching Biggest Common Factor Method

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Greatest Common Factor

We found the factors 812,943 . The biggest common factor number is the GCF number.
So the greatest common factor 812,943 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 440/812, 488/943

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 440/812, 488/943?

Answer: LCM of Numerators as per given numbers 440/812, 488/943 is

LCM of Numerators i.e. for 440,488 is 26840

GCF of denominators i.e. for 812,943 is 1.

Thus, LCM of Fractions is 26840.Finally, LCM of Fractions for 440/812, 488/943 is 26840.