Least Common Multiple of 852/939, 150/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 852/939, 150/950 quickly i.e. 21300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 852/939, 150/950 is 21300.

LCM(852/939, 150/950) = 21300

LCM of 852/939, 150/950

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 852/939,150/950

Given numbers are 852/939,150/950

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 852,150

Least Common Multiple of Numerators i.e. LCM of 852,150 is 21300.

GCF of Denominators means GCF of 939,950 as per the given fractions.

GCF of 939,950 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 852,150

LCM of Fractions 852/939,150/950 is 21300

2 852, 150
3 426, 75
142, 25

∴ So the LCM of the given numbers is 2 x 3 x 142 x 25 = 21300

Least Common Multiple of 852,150 with GCF Formula

Least Common Multiple of 852,150 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 852,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,150) = 6

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

GCF(852,150) x common factors =6 x 1 = 6

LCM(852,150) = ( 852 × 150 ) / 6

LCM(852,150) = 127800 / 6

LCM(852,150) = 21300


Lets's calculate GCF of 939,950

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21300/1

Therefore the LCM of Fractions 852/939,150/950 is 21300

Greatest Common Factor of 939,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 939,950 By Matching Biggest Common Factor Method

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 939,950 . The biggest common factor number is the GCF number.
So the greatest common factor 939,950 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 852/939, 150/950

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 852/939, 150/950?

Answer: LCM of Numerators as per given numbers 852/939, 150/950 is

LCM of Numerators i.e. for 852,150 is 21300

GCF of denominators i.e. for 939,950 is 1.

Thus, LCM of Fractions is 21300.Finally, LCM of Fractions for 852/939, 150/950 is 21300.