Least Common Multiple of 83/961, 498/464, 274/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/961, 498/464, 274/322 quickly i.e. 68226 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/961, 498/464, 274/322 is 68226.

LCM(83/961, 498/464, 274/322) = 68226

LCM of 83/961, 498/464, 274/322

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 83/961,498/464,274/322

Given numbers are 83/961,498/464,274/322

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 83,498,274

Least Common Multiple of Numerators i.e. LCM of 83,498,274 is 68226.

GCF of Denominators means GCF of 961,464,322 as per the given fractions.

GCF of 961,464,322 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,498,274

LCM of Fractions 83/961,498/464,274/322 is 68226

2 83, 498, 274
83 83, 249, 137
1, 3, 137

∴ So the LCM of the given numbers is 2 x 83 x 1 x 3 x 137 = 68226

Least Common Multiple of 83,498,274 with GCF Formula

Least Common Multiple of 83,498,274 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 83,498,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,498,274) = 1

common factors(in case of two or more numbers have common factors) = 166

GCF(83,498,274) x common factors =1 x 166 = 166

LCM(83,498,274) = ( 83 × 498 × 274 ) / 166

LCM(83,498,274) = 11325516 / 166

LCM(83,498,274) = 68226


Lets's calculate GCF of 961,464,322

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68226/1

Therefore the LCM of Fractions 83/961,498/464,274/322 is 68226

Greatest Common Factor of 961,464,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 961,464,322 By Matching Biggest Common Factor Method

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 961,464,322 . The biggest common factor number is the GCF number.
So the greatest common factor 961,464,322 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 83/961, 498/464, 274/322

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 83/961, 498/464, 274/322?

Answer: LCM of Numerators as per given numbers 83/961, 498/464, 274/322 is

LCM of Numerators i.e. for 83,498,274 is 68226

GCF of denominators i.e. for 961,464,322 is 1.

Thus, LCM of Fractions is 68226.Finally, LCM of Fractions for 83/961, 498/464, 274/322 is 68226.