Least Common Multiple of 232/862, 594/805, 213/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 232/862, 594/805, 213/254 quickly i.e. 4892184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 232/862, 594/805, 213/254 is 4892184.

LCM(232/862, 594/805, 213/254) = 4892184

LCM of 232/862, 594/805, 213/254

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 232/862,594/805,213/254

Given numbers are 232/862,594/805,213/254

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 232,594,213

Least Common Multiple of Numerators i.e. LCM of 232,594,213 is 4892184.

GCF of Denominators means GCF of 862,805,254 as per the given fractions.

GCF of 862,805,254 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 232,594,213

LCM of Fractions 232/862,594/805,213/254 is 4892184

2 232, 594, 213
3 116, 297, 213
116, 99, 71

∴ So the LCM of the given numbers is 2 x 3 x 116 x 99 x 71 = 4892184

Least Common Multiple of 232,594,213 with GCF Formula

Least Common Multiple of 232,594,213 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 232,594,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(232,594,213) = 1

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

GCF(232,594,213) x common factors =1 x 6 = 6

LCM(232,594,213) = ( 232 × 594 × 213 ) / 6

LCM(232,594,213) = 29353104 / 6

LCM(232,594,213) = 4892184


Lets's calculate GCF of 862,805,254

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4892184/1

Therefore the LCM of Fractions 232/862,594/805,213/254 is 4892184

Greatest Common Factor of 862,805,254 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,805,254 By Matching Biggest Common Factor Method

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Greatest Common Factor

We found the factors 862,805,254 . The biggest common factor number is the GCF number.
So the greatest common factor 862,805,254 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 232/862, 594/805, 213/254

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 232/862, 594/805, 213/254?

Answer: LCM of Numerators as per given numbers 232/862, 594/805, 213/254 is

LCM of Numerators i.e. for 232,594,213 is 4892184

GCF of denominators i.e. for 862,805,254 is 1.

Thus, LCM of Fractions is 4892184.Finally, LCM of Fractions for 232/862, 594/805, 213/254 is 4892184.