Least Common Multiple of 66/494, 618/158, 780/437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/494, 618/158, 780/437 quickly i.e. 883740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/494, 618/158, 780/437 is 883740.

LCM(66/494, 618/158, 780/437) = 883740

LCM of 66/494, 618/158, 780/437

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 66/494,618/158,780/437

Given numbers are 66/494,618/158,780/437

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 66,618,780

Least Common Multiple of Numerators i.e. LCM of 66,618,780 is 883740.

GCF of Denominators means GCF of 494,158,437 as per the given fractions.

GCF of 494,158,437 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,618,780

LCM of Fractions 66/494,618/158,780/437 is 883740

2 66, 618, 780
3 33, 309, 390
11, 103, 130

∴ So the LCM of the given numbers is 2 x 3 x 11 x 103 x 130 = 883740

Least Common Multiple of 66,618,780 with GCF Formula

Least Common Multiple of 66,618,780 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 66,618,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,618,780) = 6

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

GCF(66,618,780) x common factors =6 x 6 = 36

LCM(66,618,780) = ( 66 × 618 × 780 ) / 36

LCM(66,618,780) = 31814640 / 36

LCM(66,618,780) = 883740


Lets's calculate GCF of 494,158,437

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 883740/1

Therefore the LCM of Fractions 66/494,618/158,780/437 is 883740

Greatest Common Factor of 494,158,437 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,158,437 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Greatest Common Factor

We found the factors 494,158,437 . The biggest common factor number is the GCF number.
So the greatest common factor 494,158,437 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 66/494, 618/158, 780/437

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 66/494, 618/158, 780/437?

Answer: LCM of Numerators as per given numbers 66/494, 618/158, 780/437 is

LCM of Numerators i.e. for 66,618,780 is 883740

GCF of denominators i.e. for 494,158,437 is 1.

Thus, LCM of Fractions is 883740.Finally, LCM of Fractions for 66/494, 618/158, 780/437 is 883740.