Least Common Multiple of 859/844, 298/274, 745/447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 859/844, 298/274, 745/447 quickly i.e. 1279910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 859/844, 298/274, 745/447 is 1279910.

LCM(859/844, 298/274, 745/447) = 1279910

LCM of 859/844, 298/274, 745/447

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 859/844,298/274,745/447

Given numbers are 859/844,298/274,745/447

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 859,298,745

Least Common Multiple of Numerators i.e. LCM of 859,298,745 is 1279910.

GCF of Denominators means GCF of 844,274,447 as per the given fractions.

GCF of 844,274,447 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 859,298,745

LCM of Fractions 859/844,298/274,745/447 is 1279910

149 859, 298, 745
859, 2, 5

∴ So the LCM of the given numbers is 149 x 859 x 2 x 5 = 1279910

Least Common Multiple of 859,298,745 with GCF Formula

Least Common Multiple of 859,298,745 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 859,298,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(859,298,745) = 1

common factors(in case of two or more numbers have common factors) = 149

GCF(859,298,745) x common factors =1 x 149 = 149

LCM(859,298,745) = ( 859 × 298 × 745 ) / 149

LCM(859,298,745) = 190706590 / 149

LCM(859,298,745) = 1279910


Lets's calculate GCF of 844,274,447

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1279910/1

Therefore the LCM of Fractions 859/844,298/274,745/447 is 1279910

Greatest Common Factor of 844,274,447 By Matching Biggest Common Factor Method

Greatest Common Factor of 844,274,447 By Matching Biggest Common Factor Method

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Greatest Common Factor

We found the factors 844,274,447 . The biggest common factor number is the GCF number.
So the greatest common factor 844,274,447 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 859/844, 298/274, 745/447

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 859/844, 298/274, 745/447?

Answer: LCM of Numerators as per given numbers 859/844, 298/274, 745/447 is

LCM of Numerators i.e. for 859,298,745 is 1279910

GCF of denominators i.e. for 844,274,447 is 1.

Thus, LCM of Fractions is 1279910.Finally, LCM of Fractions for 859/844, 298/274, 745/447 is 1279910.