Least Common Multiple of 82/862, 962/790, 314/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/862, 962/790, 314/228 quickly i.e. 3096197 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/862, 962/790, 314/228 is 3096197.

LCM(82/862, 962/790, 314/228) = 3096197

LCM of 82/862, 962/790, 314/228

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 82/862,962/790,314/228

Given numbers are 82/862,962/790,314/228

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 82,962,314

Least Common Multiple of Numerators i.e. LCM of 82,962,314 is 6192394.

GCF of Denominators means GCF of 862,790,228 as per the given fractions.

GCF of 862,790,228 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,962,314

LCM of Fractions 82/862,962/790,314/228 is 3096197

2 82, 962, 314
41, 481, 157

∴ So the LCM of the given numbers is 2 x 41 x 481 x 157 = 6192394

Least Common Multiple of 82,962,314 with GCF Formula

Least Common Multiple of 82,962,314 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 82,962,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,962,314) = 2

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

GCF(82,962,314) x common factors =2 x 2 = 4

LCM(82,962,314) = ( 82 × 962 × 314 ) / 4

LCM(82,962,314) = 24769576 / 4

LCM(82,962,314) = 6192394


Lets's calculate GCF of 862,790,228

2 862, 790, 228
431, 395, 114

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6192394/2

Therefore the LCM of Fractions 82/862,962/790,314/228 is 3096197

Greatest Common Factor of 862,790,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,790,228 By Matching Biggest Common Factor Method

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Greatest Common Factor

We found the factors 862,790,228 . The biggest common factor number is the GCF number.
So the greatest common factor 862,790,228 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 82/862, 962/790, 314/228

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 82/862, 962/790, 314/228?

Answer: LCM of Numerators as per given numbers 82/862, 962/790, 314/228 is

LCM of Numerators i.e. for 82,962,314 is 6192394

GCF of denominators i.e. for 862,790,228 is 2.

Thus, LCM of Fractions is 3096197.Finally, LCM of Fractions for 82/862, 962/790, 314/228 is 3096197.