Least Common Multiple of 82/847, 272/956, 850/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 82/847, 272/956, 850/254 quickly i.e. 278800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/847, 272/956, 850/254 is 278800.

LCM(82/847, 272/956, 850/254) = 278800

LCM of 82/847, 272/956, 850/254

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 82/847,272/956,850/254

Given numbers are 82/847,272/956,850/254

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 82,272,850

Least Common Multiple of Numerators i.e. LCM of 82,272,850 is 278800.

GCF of Denominators means GCF of 847,956,254 as per the given fractions.

GCF of 847,956,254 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,272,850

LCM of Fractions 82/847,272/956,850/254 is 278800

2 82, 272, 850
17 41, 136, 425
41, 8, 25

∴ So the LCM of the given numbers is 2 x 17 x 41 x 8 x 25 = 278800

Least Common Multiple of 82,272,850 with GCF Formula

Least Common Multiple of 82,272,850 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 82,272,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,272,850) = 2

common factors(in case of two or more numbers have common factors) = 34

GCF(82,272,850) x common factors =2 x 34 = 68

LCM(82,272,850) = ( 82 × 272 × 850 ) / 68

LCM(82,272,850) = 18958400 / 68

LCM(82,272,850) = 278800


Lets's calculate GCF of 847,956,254

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 278800/1

Therefore the LCM of Fractions 82/847,272/956,850/254 is 278800

Greatest Common Factor of 847,956,254 By Matching Biggest Common Factor Method

Greatest Common Factor of 847,956,254 By Matching Biggest Common Factor Method

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

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 847,956,254 . The biggest common factor number is the GCF number.
So the greatest common factor 847,956,254 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 82/847, 272/956, 850/254

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 82/847, 272/956, 850/254?

Answer: LCM of Numerators as per given numbers 82/847, 272/956, 850/254 is

LCM of Numerators i.e. for 82,272,850 is 278800

GCF of denominators i.e. for 847,956,254 is 1.

Thus, LCM of Fractions is 278800.Finally, LCM of Fractions for 82/847, 272/956, 850/254 is 278800.