Least Common Multiple of 790/281, 5085/7192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 790/281, 5085/7192 quickly i.e. 803430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 790/281, 5085/7192 is 803430.

LCM(790/281, 5085/7192) = 803430

LCM of 790/281, 5085/7192

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 790/281,5085/7192

Given numbers are 790/281,5085/7192

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 790,5085

Least Common Multiple of Numerators i.e. LCM of 790,5085 is 803430.

GCF of Denominators means GCF of 281,7192 as per the given fractions.

GCF of 281,7192 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 790,5085

LCM of Fractions 790/281,5085/7192 is 803430

5 790, 5085
158, 1017

∴ So the LCM of the given numbers is 5 x 158 x 1017 = 803430

Least Common Multiple of 790,5085 with GCF Formula

Least Common Multiple of 790,5085 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 790,5085 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,5085) = 5

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

GCF(790,5085) x common factors =5 x 1 = 5

LCM(790,5085) = ( 790 × 5085 ) / 5

LCM(790,5085) = 4017150 / 5

LCM(790,5085) = 803430


Lets's calculate GCF of 281,7192

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 803430/1

Therefore the LCM of Fractions 790/281,5085/7192 is 803430

Greatest Common Factor of 281,7192 By Matching Biggest Common Factor Method

Greatest Common Factor of 281,7192 By Matching Biggest Common Factor Method

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Factors of 7192

List of positive integer factors of 7192 that divides 7192 without a remainder.

1,2,4,8,29,31,58,62,116,124,232,248,899,1798,3596,7192

Greatest Common Factor

We found the factors 281,7192 . The biggest common factor number is the GCF number.
So the greatest common factor 281,7192 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 790/281, 5085/7192

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 790/281, 5085/7192?

Answer: LCM of Numerators as per given numbers 790/281, 5085/7192 is

LCM of Numerators i.e. for 790,5085 is 803430

GCF of denominators i.e. for 281,7192 is 1.

Thus, LCM of Fractions is 803430.Finally, LCM of Fractions for 790/281, 5085/7192 is 803430.