Least Common Multiple of 299/86, 158/50, 616/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 299/86, 158/50, 616/852 quickly i.e. 7275268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 299/86, 158/50, 616/852 is 7275268.

LCM(299/86, 158/50, 616/852) = 7275268

LCM of 299/86, 158/50, 616/852

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 299/86,158/50,616/852

Given numbers are 299/86,158/50,616/852

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 299,158,616

Least Common Multiple of Numerators i.e. LCM of 299,158,616 is 14550536.

GCF of Denominators means GCF of 86,50,852 as per the given fractions.

GCF of 86,50,852 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 299,158,616

LCM of Fractions 299/86,158/50,616/852 is 7275268

2 299, 158, 616
299, 79, 308

∴ So the LCM of the given numbers is 2 x 299 x 79 x 308 = 14550536

Least Common Multiple of 299,158,616 with GCF Formula

Least Common Multiple of 299,158,616 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 299,158,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,158,616) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(299,158,616) x common factors =1 x 2 = 2

LCM(299,158,616) = ( 299 × 158 × 616 ) / 2

LCM(299,158,616) = 29101072 / 2

LCM(299,158,616) = 14550536


Lets's calculate GCF of 86,50,852

2 86, 50, 852
43, 25, 426

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14550536/2

Therefore the LCM of Fractions 299/86,158/50,616/852 is 7275268

Greatest Common Factor of 86,50,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,50,852 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Greatest Common Factor

We found the factors 86,50,852 . The biggest common factor number is the GCF number.
So the greatest common factor 86,50,852 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 299/86, 158/50, 616/852

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 299/86, 158/50, 616/852?

Answer: LCM of Numerators as per given numbers 299/86, 158/50, 616/852 is

LCM of Numerators i.e. for 299,158,616 is 14550536

GCF of denominators i.e. for 86,50,852 is 2.

Thus, LCM of Fractions is 7275268.Finally, LCM of Fractions for 299/86, 158/50, 616/852 is 7275268.