Least Common Multiple of 199/52, 864/51, 392/957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 199/52, 864/51, 392/957 quickly i.e. 8424864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 199/52, 864/51, 392/957 is 8424864.

LCM(199/52, 864/51, 392/957) = 8424864

LCM of 199/52, 864/51, 392/957

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 199/52,864/51,392/957

Given numbers are 199/52,864/51,392/957

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 199,864,392

Least Common Multiple of Numerators i.e. LCM of 199,864,392 is 8424864.

GCF of Denominators means GCF of 52,51,957 as per the given fractions.

GCF of 52,51,957 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 199,864,392

LCM of Fractions 199/52,864/51,392/957 is 8424864

2 199, 864, 392
2 199, 432, 196
2 199, 216, 98
199, 108, 49

∴ So the LCM of the given numbers is 2 x 2 x 2 x 199 x 108 x 49 = 8424864

Least Common Multiple of 199,864,392 with GCF Formula

Least Common Multiple of 199,864,392 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 199,864,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(199,864,392) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(199,864,392) x common factors =1 x 8 = 8

LCM(199,864,392) = ( 199 × 864 × 392 ) / 8

LCM(199,864,392) = 67398912 / 8

LCM(199,864,392) = 8424864


Lets's calculate GCF of 52,51,957

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8424864/1

Therefore the LCM of Fractions 199/52,864/51,392/957 is 8424864

Greatest Common Factor of 52,51,957 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,51,957 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Greatest Common Factor

We found the factors 52,51,957 . The biggest common factor number is the GCF number.
So the greatest common factor 52,51,957 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 199/52, 864/51, 392/957

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 199/52, 864/51, 392/957?

Answer: LCM of Numerators as per given numbers 199/52, 864/51, 392/957 is

LCM of Numerators i.e. for 199,864,392 is 8424864

GCF of denominators i.e. for 52,51,957 is 1.

Thus, LCM of Fractions is 8424864.Finally, LCM of Fractions for 199/52, 864/51, 392/957 is 8424864.