Least Common Multiple of 5/71, 1/58, 74/88, 77/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5/71, 1/58, 74/88, 77/804 quickly i.e. 28490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5/71, 1/58, 74/88, 77/804 is 28490.

LCM(5/71, 1/58, 74/88, 77/804) = 28490

LCM of 5/71, 1/58, 74/88, 77/804

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 5/71,1/58,74/88,77/804

Given numbers are 5/71,1/58,74/88,77/804

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 5,1,74,77

Least Common Multiple of Numerators i.e. LCM of 5,1,74,77 is 28490.

GCF of Denominators means GCF of 71,58,88,804 as per the given fractions.

GCF of 71,58,88,804 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5,1,74,77

LCM of Fractions 5/71,1/58,74/88,77/804 is 28490

Given numbers has no common factors except 1. So, there LCM is their product i.e 28490

Least Common Multiple of 5,1,74,77 with GCF Formula

Least Common Multiple of 5,1,74,77 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 5,1,74,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5,1,74,77) = 1

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

GCF(5,1,74,77) x common factors =1 x 1 = 1

LCM(5,1,74,77) = ( 5 × 1 × 74 × 77 ) / 1

LCM(5,1,74,77) = 28490 / 1

LCM(5,1,74,77) = 28490


Lets's calculate GCF of 71,58,88,804

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28490/1

Therefore the LCM of Fractions 5/71,1/58,74/88,77/804 is 28490

Greatest Common Factor of 71,58,88,804 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,58,88,804 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Greatest Common Factor

We found the factors 71,58,88,804 . The biggest common factor number is the GCF number.
So the greatest common factor 71,58,88,804 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 5/71, 1/58, 74/88, 77/804

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 5/71, 1/58, 74/88, 77/804?

Answer: LCM of Numerators as per given numbers 5/71, 1/58, 74/88, 77/804 is

LCM of Numerators i.e. for 5,1,74,77 is 28490

GCF of denominators i.e. for 71,58,88,804 is 1.

Thus, LCM of Fractions is 28490.Finally, LCM of Fractions for 5/71, 1/58, 74/88, 77/804 is 28490.