Least Common Multiple of 92/35, 76/76, 19/52, 72/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/35, 76/76, 19/52, 72/412 quickly i.e. 31464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/35, 76/76, 19/52, 72/412 is 31464.

LCM(92/35, 76/76, 19/52, 72/412) = 31464

LCM of 92/35, 76/76, 19/52, 72/412

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 92/35,76/76,19/52,72/412

Given numbers are 92/35,76/76,19/52,72/412

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 92,76,19,72

Least Common Multiple of Numerators i.e. LCM of 92,76,19,72 is 31464.

GCF of Denominators means GCF of 35,76,52,412 as per the given fractions.

GCF of 35,76,52,412 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,76,19,72

LCM of Fractions 92/35,76/76,19/52,72/412 is 31464

2 92, 76, 19, 72
2 46, 38, 19, 36
19 23, 19, 19, 18
23, 1, 1, 18

∴ So the LCM of the given numbers is 2 x 2 x 19 x 23 x 1 x 1 x 18 = 31464

Least Common Multiple of 92,76,19,72 with GCF Formula

Least Common Multiple of 92,76,19,72 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 92,76,19,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,76,19,72) = 1

common factors(in case of two or more numbers have common factors) = 304

GCF(92,76,19,72) x common factors =1 x 304 = 304

LCM(92,76,19,72) = ( 92 × 76 × 19 × 72 ) / 304

LCM(92,76,19,72) = 9565056 / 304

LCM(92,76,19,72) = 31464


Lets's calculate GCF of 35,76,52,412

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31464/1

Therefore the LCM of Fractions 92/35,76/76,19/52,72/412 is 31464

Greatest Common Factor of 35,76,52,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,76,52,412 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 52

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

1,2,4,13,26,52

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 35,76,52,412 . The biggest common factor number is the GCF number.
So the greatest common factor 35,76,52,412 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 92/35, 76/76, 19/52, 72/412

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 92/35, 76/76, 19/52, 72/412?

Answer: LCM of Numerators as per given numbers 92/35, 76/76, 19/52, 72/412 is

LCM of Numerators i.e. for 92,76,19,72 is 31464

GCF of denominators i.e. for 35,76,52,412 is 1.

Thus, LCM of Fractions is 31464.Finally, LCM of Fractions for 92/35, 76/76, 19/52, 72/412 is 31464.