Least Common Multiple of 84/490, 69/834, 955/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/490, 69/834, 955/106 quickly i.e. 922530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/490, 69/834, 955/106 is 922530.

LCM(84/490, 69/834, 955/106) = 922530

LCM of 84/490, 69/834, 955/106

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 84/490,69/834,955/106

Given numbers are 84/490,69/834,955/106

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 84,69,955

Least Common Multiple of Numerators i.e. LCM of 84,69,955 is 1845060.

GCF of Denominators means GCF of 490,834,106 as per the given fractions.

GCF of 490,834,106 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,69,955

LCM of Fractions 84/490,69/834,955/106 is 922530

3 84, 69, 955
28, 23, 955

∴ So the LCM of the given numbers is 3 x 28 x 23 x 955 = 1845060

Least Common Multiple of 84,69,955 with GCF Formula

Least Common Multiple of 84,69,955 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 84,69,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,69,955) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(84,69,955) x common factors =1 x 3 = 3

LCM(84,69,955) = ( 84 × 69 × 955 ) / 3

LCM(84,69,955) = 5535180 / 3

LCM(84,69,955) = 1845060


Lets's calculate GCF of 490,834,106

2 490, 834, 106
245, 417, 53

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1845060/2

Therefore the LCM of Fractions 84/490,69/834,955/106 is 922530

Greatest Common Factor of 490,834,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,834,106 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 834

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

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

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors 490,834,106 . The biggest common factor number is the GCF number.
So the greatest common factor 490,834,106 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 84/490, 69/834, 955/106

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 84/490, 69/834, 955/106?

Answer: LCM of Numerators as per given numbers 84/490, 69/834, 955/106 is

LCM of Numerators i.e. for 84,69,955 is 1845060

GCF of denominators i.e. for 490,834,106 is 2.

Thus, LCM of Fractions is 922530.Finally, LCM of Fractions for 84/490, 69/834, 955/106 is 922530.