Least Common Multiple of 37/192, 83/926, 677/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/192, 83/926, 677/616 quickly i.e. 2079067/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/192, 83/926, 677/616 is 2079067/2.

LCM(37/192, 83/926, 677/616) = 2079067/2

LCM of 37/192, 83/926, 677/616

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 37/192,83/926,677/616

Given numbers are 37/192,83/926,677/616

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 37,83,677

Least Common Multiple of Numerators i.e. LCM of 37,83,677 is 2079067.

GCF of Denominators means GCF of 192,926,616 as per the given fractions.

GCF of 192,926,616 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,83,677

LCM of Fractions 37/192,83/926,677/616 is 2079067/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 2079067

Least Common Multiple of 37,83,677 with GCF Formula

Least Common Multiple of 37,83,677 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 37,83,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,83,677) = 1

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

GCF(37,83,677) x common factors =1 x 1 = 1

LCM(37,83,677) = ( 37 × 83 × 677 ) / 1

LCM(37,83,677) = 2079067 / 1

LCM(37,83,677) = 2079067


Lets's calculate GCF of 192,926,616

2 192, 926, 616
96, 463, 308

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2079067/2

Therefore the LCM of Fractions 37/192,83/926,677/616 is 2079067/2

Greatest Common Factor of 192,926,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 192,926,616 By Matching Biggest Common Factor Method

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 192,926,616 . The biggest common factor number is the GCF number.
So the greatest common factor 192,926,616 is 2.


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 37/192, 83/926, 677/616

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 37/192, 83/926, 677/616?

Answer: LCM of Numerators as per given numbers 37/192, 83/926, 677/616 is

LCM of Numerators i.e. for 37,83,677 is 2079067

GCF of denominators i.e. for 192,926,616 is 2.

Thus, LCM of Fractions is 2079067/2.Finally, LCM of Fractions for 37/192, 83/926, 677/616 is 2079067/2.