Least Common Multiple of 66/930, 780/658, 427/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/930, 780/658, 427/418 quickly i.e. 1831830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/930, 780/658, 427/418 is 1831830.

LCM(66/930, 780/658, 427/418) = 1831830

LCM of 66/930, 780/658, 427/418

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 66/930,780/658,427/418

Given numbers are 66/930,780/658,427/418

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 66,780,427

Least Common Multiple of Numerators i.e. LCM of 66,780,427 is 3663660.

GCF of Denominators means GCF of 930,658,418 as per the given fractions.

GCF of 930,658,418 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,780,427

LCM of Fractions 66/930,780/658,427/418 is 1831830

2 66, 780, 427
3 33, 390, 427
11, 130, 427

∴ So the LCM of the given numbers is 2 x 3 x 11 x 130 x 427 = 3663660

Least Common Multiple of 66,780,427 with GCF Formula

Least Common Multiple of 66,780,427 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 66,780,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,780,427) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(66,780,427) x common factors =1 x 6 = 6

LCM(66,780,427) = ( 66 × 780 × 427 ) / 6

LCM(66,780,427) = 21981960 / 6

LCM(66,780,427) = 3663660


Lets's calculate GCF of 930,658,418

2 930, 658, 418
465, 329, 209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3663660/2

Therefore the LCM of Fractions 66/930,780/658,427/418 is 1831830

Greatest Common Factor of 930,658,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 930,658,418 By Matching Biggest Common Factor Method

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 930,658,418 . The biggest common factor number is the GCF number.
So the greatest common factor 930,658,418 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 66/930, 780/658, 427/418

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 66/930, 780/658, 427/418?

Answer: LCM of Numerators as per given numbers 66/930, 780/658, 427/418 is

LCM of Numerators i.e. for 66,780,427 is 3663660

GCF of denominators i.e. for 930,658,418 is 2.

Thus, LCM of Fractions is 1831830.Finally, LCM of Fractions for 66/930, 780/658, 427/418 is 1831830.