Least Common Multiple of 92/78, 58/86, 30/99, 84/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/78, 58/86, 30/99, 84/760 quickly i.e. 280140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/78, 58/86, 30/99, 84/760 is 280140.

LCM(92/78, 58/86, 30/99, 84/760) = 280140

LCM of 92/78, 58/86, 30/99, 84/760

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 92/78,58/86,30/99,84/760

Given numbers are 92/78,58/86,30/99,84/760

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 92,58,30,84

Least Common Multiple of Numerators i.e. LCM of 92,58,30,84 is 280140.

GCF of Denominators means GCF of 78,86,99,760 as per the given fractions.

GCF of 78,86,99,760 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,58,30,84

LCM of Fractions 92/78,58/86,30/99,84/760 is 280140

2 92, 58, 30, 84
2 46, 29, 15, 42
3 23, 29, 15, 21
23, 29, 5, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 29 x 5 x 7 = 280140

Least Common Multiple of 92,58,30,84 with GCF Formula

Least Common Multiple of 92,58,30,84 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 92,58,30,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,58,30,84) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(92,58,30,84) x common factors =2 x 24 = 48

LCM(92,58,30,84) = ( 92 × 58 × 30 × 84 ) / 48

LCM(92,58,30,84) = 13446720 / 48

LCM(92,58,30,84) = 280140


Lets's calculate GCF of 78,86,99,760

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 280140/1

Therefore the LCM of Fractions 92/78,58/86,30/99,84/760 is 280140

Greatest Common Factor of 78,86,99,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,86,99,760 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 86

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

1,2,43,86

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 78,86,99,760 . The biggest common factor number is the GCF number.
So the greatest common factor 78,86,99,760 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 92/78, 58/86, 30/99, 84/760

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 92/78, 58/86, 30/99, 84/760?

Answer: LCM of Numerators as per given numbers 92/78, 58/86, 30/99, 84/760 is

LCM of Numerators i.e. for 92,58,30,84 is 280140

GCF of denominators i.e. for 78,86,99,760 is 1.

Thus, LCM of Fractions is 280140.Finally, LCM of Fractions for 92/78, 58/86, 30/99, 84/760 is 280140.