Least Common Multiple of 61/322, 74/271, 616/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/322, 74/271, 616/830 quickly i.e. 1390312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/322, 74/271, 616/830 is 1390312.

LCM(61/322, 74/271, 616/830) = 1390312

LCM of 61/322, 74/271, 616/830

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 61/322,74/271,616/830

Given numbers are 61/322,74/271,616/830

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 61,74,616

Least Common Multiple of Numerators i.e. LCM of 61,74,616 is 1390312.

GCF of Denominators means GCF of 322,271,830 as per the given fractions.

GCF of 322,271,830 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,74,616

LCM of Fractions 61/322,74/271,616/830 is 1390312

2 61, 74, 616
61, 37, 308

∴ So the LCM of the given numbers is 2 x 61 x 37 x 308 = 1390312

Least Common Multiple of 61,74,616 with GCF Formula

Least Common Multiple of 61,74,616 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 61,74,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,74,616) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(61,74,616) x common factors =1 x 2 = 2

LCM(61,74,616) = ( 61 × 74 × 616 ) / 2

LCM(61,74,616) = 2780624 / 2

LCM(61,74,616) = 1390312


Lets's calculate GCF of 322,271,830

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1390312/1

Therefore the LCM of Fractions 61/322,74/271,616/830 is 1390312

Greatest Common Factor of 322,271,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,271,830 By Matching Biggest Common Factor Method

Factors of 322

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

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

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 322,271,830 . The biggest common factor number is the GCF number.
So the greatest common factor 322,271,830 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 61/322, 74/271, 616/830

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 61/322, 74/271, 616/830?

Answer: LCM of Numerators as per given numbers 61/322, 74/271, 616/830 is

LCM of Numerators i.e. for 61,74,616 is 1390312

GCF of denominators i.e. for 322,271,830 is 1.

Thus, LCM of Fractions is 1390312.Finally, LCM of Fractions for 61/322, 74/271, 616/830 is 1390312.