Least Common Multiple of 61/78, 58/12, 585/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/78, 58/12, 585/129 quickly i.e. 689910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/78, 58/12, 585/129 is 689910.

LCM(61/78, 58/12, 585/129) = 689910

LCM of 61/78, 58/12, 585/129

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 61/78,58/12,585/129

Given numbers are 61/78,58/12,585/129

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 61,58,585

Least Common Multiple of Numerators i.e. LCM of 61,58,585 is 2069730.

GCF of Denominators means GCF of 78,12,129 as per the given fractions.

GCF of 78,12,129 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,58,585

LCM of Fractions 61/78,58/12,585/129 is 689910

Given numbers has no common factors except 1. So, there LCM is their product i.e 2069730

Least Common Multiple of 61,58,585 with GCF Formula

Least Common Multiple of 61,58,585 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 61,58,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,58,585) = 1

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

GCF(61,58,585) x common factors =1 x 1 = 1

LCM(61,58,585) = ( 61 × 58 × 585 ) / 1

LCM(61,58,585) = 2069730 / 1

LCM(61,58,585) = 2069730


Lets's calculate GCF of 78,12,129

3 78, 12, 129
26, 4, 43

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2069730/3

Therefore the LCM of Fractions 61/78,58/12,585/129 is 689910

Greatest Common Factor of 78,12,129 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,12,129 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 12

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

1,2,3,4,6,12

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Greatest Common Factor

We found the factors 78,12,129 . The biggest common factor number is the GCF number.
So the greatest common factor 78,12,129 is 3.


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 61/78, 58/12, 585/129

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 61/78, 58/12, 585/129?

Answer: LCM of Numerators as per given numbers 61/78, 58/12, 585/129 is

LCM of Numerators i.e. for 61,58,585 is 2069730

GCF of denominators i.e. for 78,12,129 is 3.

Thus, LCM of Fractions is 689910.Finally, LCM of Fractions for 61/78, 58/12, 585/129 is 689910.