Least Common Multiple of 92/69, 49/83, 80/94, 30/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/69, 49/83, 80/94, 30/462 quickly i.e. 270480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/69, 49/83, 80/94, 30/462 is 270480.

LCM(92/69, 49/83, 80/94, 30/462) = 270480

LCM of 92/69, 49/83, 80/94, 30/462

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 92/69,49/83,80/94,30/462

Given numbers are 92/69,49/83,80/94,30/462

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 92,49,80,30

Least Common Multiple of Numerators i.e. LCM of 92,49,80,30 is 270480.

GCF of Denominators means GCF of 69,83,94,462 as per the given fractions.

GCF of 69,83,94,462 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,49,80,30

LCM of Fractions 92/69,49/83,80/94,30/462 is 270480

2 92, 49, 80, 30
2 46, 49, 40, 15
5 23, 49, 20, 15
23, 49, 4, 3

∴ So the LCM of the given numbers is 2 x 2 x 5 x 23 x 49 x 4 x 3 = 270480

Least Common Multiple of 92,49,80,30 with GCF Formula

Least Common Multiple of 92,49,80,30 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 92,49,80,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,49,80,30) = 1

common factors(in case of two or more numbers have common factors) = 40

GCF(92,49,80,30) x common factors =1 x 40 = 40

LCM(92,49,80,30) = ( 92 × 49 × 80 × 30 ) / 40

LCM(92,49,80,30) = 10819200 / 40

LCM(92,49,80,30) = 270480


Lets's calculate GCF of 69,83,94,462

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270480/1

Therefore the LCM of Fractions 92/69,49/83,80/94,30/462 is 270480

Greatest Common Factor of 69,83,94,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,83,94,462 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 69,83,94,462 . The biggest common factor number is the GCF number.
So the greatest common factor 69,83,94,462 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 92/69, 49/83, 80/94, 30/462

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 92/69, 49/83, 80/94, 30/462?

Answer: LCM of Numerators as per given numbers 92/69, 49/83, 80/94, 30/462 is

LCM of Numerators i.e. for 92,49,80,30 is 270480

GCF of denominators i.e. for 69,83,94,462 is 1.

Thus, LCM of Fractions is 270480.Finally, LCM of Fractions for 92/69, 49/83, 80/94, 30/462 is 270480.