Least Common Multiple of 195/58, 364/85, 676/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 195/58, 364/85, 676/789 quickly i.e. 70980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 195/58, 364/85, 676/789 is 70980.

LCM(195/58, 364/85, 676/789) = 70980

LCM of 195/58, 364/85, 676/789

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 195/58,364/85,676/789

Given numbers are 195/58,364/85,676/789

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 195,364,676

Least Common Multiple of Numerators i.e. LCM of 195,364,676 is 70980.

GCF of Denominators means GCF of 58,85,789 as per the given fractions.

GCF of 58,85,789 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 195,364,676

LCM of Fractions 195/58,364/85,676/789 is 70980

2 195, 364, 676
2 195, 182, 338
13 195, 91, 169
15, 7, 13

∴ So the LCM of the given numbers is 2 x 2 x 13 x 15 x 7 x 13 = 70980

Least Common Multiple of 195,364,676 with GCF Formula

Least Common Multiple of 195,364,676 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 195,364,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(195,364,676) = 13

common factors(in case of two or more numbers have common factors) = 52

GCF(195,364,676) x common factors =13 x 52 = 676

LCM(195,364,676) = ( 195 × 364 × 676 ) / 676

LCM(195,364,676) = 47982480 / 676

LCM(195,364,676) = 70980


Lets's calculate GCF of 58,85,789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70980/1

Therefore the LCM of Fractions 195/58,364/85,676/789 is 70980

Greatest Common Factor of 58,85,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,85,789 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 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors 58,85,789 . The biggest common factor number is the GCF number.
So the greatest common factor 58,85,789 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 195/58, 364/85, 676/789

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 195/58, 364/85, 676/789?

Answer: LCM of Numerators as per given numbers 195/58, 364/85, 676/789 is

LCM of Numerators i.e. for 195,364,676 is 70980

GCF of denominators i.e. for 58,85,789 is 1.

Thus, LCM of Fractions is 70980.Finally, LCM of Fractions for 195/58, 364/85, 676/789 is 70980.