Least Common Multiple of 684/956, 969/867, 289/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 684/956, 969/867, 289/834 quickly i.e. 197676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 684/956, 969/867, 289/834 is 197676.

LCM(684/956, 969/867, 289/834) = 197676

LCM of 684/956, 969/867, 289/834

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 684/956,969/867,289/834

Given numbers are 684/956,969/867,289/834

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 684,969,289

Least Common Multiple of Numerators i.e. LCM of 684,969,289 is 197676.

GCF of Denominators means GCF of 956,867,834 as per the given fractions.

GCF of 956,867,834 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 684,969,289

LCM of Fractions 684/956,969/867,289/834 is 197676

3 684, 969, 289
17 228, 323, 289
19 228, 19, 17
12, 1, 17

∴ So the LCM of the given numbers is 3 x 17 x 19 x 12 x 1 x 17 = 197676

Least Common Multiple of 684,969,289 with GCF Formula

Least Common Multiple of 684,969,289 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 684,969,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,969,289) = 1

common factors(in case of two or more numbers have common factors) = 969

GCF(684,969,289) x common factors =1 x 969 = 969

LCM(684,969,289) = ( 684 × 969 × 289 ) / 969

LCM(684,969,289) = 191548044 / 969

LCM(684,969,289) = 197676


Lets's calculate GCF of 956,867,834

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 197676/1

Therefore the LCM of Fractions 684/956,969/867,289/834 is 197676

Greatest Common Factor of 956,867,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 956,867,834 By Matching Biggest Common Factor Method

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 956,867,834 . The biggest common factor number is the GCF number.
So the greatest common factor 956,867,834 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 684/956, 969/867, 289/834

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 684/956, 969/867, 289/834?

Answer: LCM of Numerators as per given numbers 684/956, 969/867, 289/834 is

LCM of Numerators i.e. for 684,969,289 is 197676

GCF of denominators i.e. for 956,867,834 is 1.

Thus, LCM of Fractions is 197676.Finally, LCM of Fractions for 684/956, 969/867, 289/834 is 197676.