Least Common Multiple of 58/80, 688/42, 258/661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/80, 688/42, 258/661 quickly i.e. 59856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/80, 688/42, 258/661 is 59856.

LCM(58/80, 688/42, 258/661) = 59856

LCM of 58/80, 688/42, 258/661

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 58/80,688/42,258/661

Given numbers are 58/80,688/42,258/661

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 58,688,258

Least Common Multiple of Numerators i.e. LCM of 58,688,258 is 59856.

GCF of Denominators means GCF of 80,42,661 as per the given fractions.

GCF of 80,42,661 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,688,258

LCM of Fractions 58/80,688/42,258/661 is 59856

2 58, 688, 258
43 29, 344, 129
29, 8, 3

∴ So the LCM of the given numbers is 2 x 43 x 29 x 8 x 3 = 59856

Least Common Multiple of 58,688,258 with GCF Formula

Least Common Multiple of 58,688,258 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 58,688,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,688,258) = 2

common factors(in case of two or more numbers have common factors) = 86

GCF(58,688,258) x common factors =2 x 86 = 172

LCM(58,688,258) = ( 58 × 688 × 258 ) / 172

LCM(58,688,258) = 10295232 / 172

LCM(58,688,258) = 59856


Lets's calculate GCF of 80,42,661

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59856/1

Therefore the LCM of Fractions 58/80,688/42,258/661 is 59856

Greatest Common Factor of 80,42,661 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,42,661 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Greatest Common Factor

We found the factors 80,42,661 . The biggest common factor number is the GCF number.
So the greatest common factor 80,42,661 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 58/80, 688/42, 258/661

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 58/80, 688/42, 258/661?

Answer: LCM of Numerators as per given numbers 58/80, 688/42, 258/661 is

LCM of Numerators i.e. for 58,688,258 is 59856

GCF of denominators i.e. for 80,42,661 is 1.

Thus, LCM of Fractions is 59856.Finally, LCM of Fractions for 58/80, 688/42, 258/661 is 59856.