Least Common Multiple of 852/79, 950/15, 551/856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 852/79, 950/15, 551/856 quickly i.e. 11736300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 852/79, 950/15, 551/856 is 11736300.

LCM(852/79, 950/15, 551/856) = 11736300

LCM of 852/79, 950/15, 551/856

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 852/79,950/15,551/856

Given numbers are 852/79,950/15,551/856

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 852,950,551

Least Common Multiple of Numerators i.e. LCM of 852,950,551 is 11736300.

GCF of Denominators means GCF of 79,15,856 as per the given fractions.

GCF of 79,15,856 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 852,950,551

LCM of Fractions 852/79,950/15,551/856 is 11736300

2 852, 950, 551
19 426, 475, 551
426, 25, 29

∴ So the LCM of the given numbers is 2 x 19 x 426 x 25 x 29 = 11736300

Least Common Multiple of 852,950,551 with GCF Formula

Least Common Multiple of 852,950,551 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 852,950,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,950,551) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(852,950,551) x common factors =1 x 38 = 38

LCM(852,950,551) = ( 852 × 950 × 551 ) / 38

LCM(852,950,551) = 445979400 / 38

LCM(852,950,551) = 11736300


Lets's calculate GCF of 79,15,856

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11736300/1

Therefore the LCM of Fractions 852/79,950/15,551/856 is 11736300

Greatest Common Factor of 79,15,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,15,856 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 79,15,856 . The biggest common factor number is the GCF number.
So the greatest common factor 79,15,856 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 852/79, 950/15, 551/856

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 852/79, 950/15, 551/856?

Answer: LCM of Numerators as per given numbers 852/79, 950/15, 551/856 is

LCM of Numerators i.e. for 852,950,551 is 11736300

GCF of denominators i.e. for 79,15,856 is 1.

Thus, LCM of Fractions is 11736300.Finally, LCM of Fractions for 852/79, 950/15, 551/856 is 11736300.