Least Common Multiple of 34/967, 95/263, 180/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/967, 95/263, 180/685 quickly i.e. 58140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/967, 95/263, 180/685 is 58140.

LCM(34/967, 95/263, 180/685) = 58140

LCM of 34/967, 95/263, 180/685

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 34/967,95/263,180/685

Given numbers are 34/967,95/263,180/685

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 34,95,180

Least Common Multiple of Numerators i.e. LCM of 34,95,180 is 58140.

GCF of Denominators means GCF of 967,263,685 as per the given fractions.

GCF of 967,263,685 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,95,180

LCM of Fractions 34/967,95/263,180/685 is 58140

2 34, 95, 180
5 17, 95, 90
17, 19, 18

∴ So the LCM of the given numbers is 2 x 5 x 17 x 19 x 18 = 58140

Least Common Multiple of 34,95,180 with GCF Formula

Least Common Multiple of 34,95,180 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 34,95,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,95,180) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(34,95,180) x common factors =1 x 10 = 10

LCM(34,95,180) = ( 34 × 95 × 180 ) / 10

LCM(34,95,180) = 581400 / 10

LCM(34,95,180) = 58140


Lets's calculate GCF of 967,263,685

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58140/1

Therefore the LCM of Fractions 34/967,95/263,180/685 is 58140

Greatest Common Factor of 967,263,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 967,263,685 By Matching Biggest Common Factor Method

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 967,263,685 . The biggest common factor number is the GCF number.
So the greatest common factor 967,263,685 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 34/967, 95/263, 180/685

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 34/967, 95/263, 180/685?

Answer: LCM of Numerators as per given numbers 34/967, 95/263, 180/685 is

LCM of Numerators i.e. for 34,95,180 is 58140

GCF of denominators i.e. for 967,263,685 is 1.

Thus, LCM of Fractions is 58140.Finally, LCM of Fractions for 34/967, 95/263, 180/685 is 58140.