Least Common Multiple of 1/58, 6/92, 12/12, 85/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/58, 6/92, 12/12, 85/692 quickly i.e. 510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/58, 6/92, 12/12, 85/692 is 510.

LCM(1/58, 6/92, 12/12, 85/692) = 510

LCM of 1/58, 6/92, 12/12, 85/692

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 1/58,6/92,12/12,85/692

Given numbers are 1/58,6/92,12/12,85/692

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 1,6,12,85

Least Common Multiple of Numerators i.e. LCM of 1,6,12,85 is 1020.

GCF of Denominators means GCF of 58,92,12,692 as per the given fractions.

GCF of 58,92,12,692 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,6,12,85

LCM of Fractions 1/58,6/92,12/12,85/692 is 510

2 1, 6, 12, 85
3 1, 3, 6, 85
1, 1, 2, 85

∴ So the LCM of the given numbers is 2 x 3 x 1 x 1 x 2 x 85 = 1020

Least Common Multiple of 1,6,12,85 with GCF Formula

Least Common Multiple of 1,6,12,85 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 1,6,12,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,6,12,85) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(1,6,12,85) x common factors =1 x 6 = 6

LCM(1,6,12,85) = ( 1 × 6 × 12 × 85 ) / 6

LCM(1,6,12,85) = 6120 / 6

LCM(1,6,12,85) = 1020


Lets's calculate GCF of 58,92,12,692

2 58, 92, 12, 692
29, 46, 6, 346

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1020/2

Therefore the LCM of Fractions 1/58,6/92,12/12,85/692 is 510

Greatest Common Factor of 58,92,12,692 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,92,12,692 By Matching Biggest Common Factor Method

Factors of 58

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

1,2,29,58

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Greatest Common Factor

We found the factors 58,92,12,692 . The biggest common factor number is the GCF number.
So the greatest common factor 58,92,12,692 is 2.


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 1/58, 6/92, 12/12, 85/692

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 1/58, 6/92, 12/12, 85/692?

Answer: LCM of Numerators as per given numbers 1/58, 6/92, 12/12, 85/692 is

LCM of Numerators i.e. for 1,6,12,85 is 1020

GCF of denominators i.e. for 58,92,12,692 is 2.

Thus, LCM of Fractions is 510.Finally, LCM of Fractions for 1/58, 6/92, 12/12, 85/692 is 510.