Least Common Multiple of 66/376, 30/866, 598/553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/376, 30/866, 598/553 quickly i.e. 98670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/376, 30/866, 598/553 is 98670.

LCM(66/376, 30/866, 598/553) = 98670

LCM of 66/376, 30/866, 598/553

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 66/376,30/866,598/553

Given numbers are 66/376,30/866,598/553

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 66,30,598

Least Common Multiple of Numerators i.e. LCM of 66,30,598 is 98670.

GCF of Denominators means GCF of 376,866,553 as per the given fractions.

GCF of 376,866,553 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,30,598

LCM of Fractions 66/376,30/866,598/553 is 98670

2 66, 30, 598
3 33, 15, 299
11, 5, 299

∴ So the LCM of the given numbers is 2 x 3 x 11 x 5 x 299 = 98670

Least Common Multiple of 66,30,598 with GCF Formula

Least Common Multiple of 66,30,598 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 66,30,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,30,598) = 2

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

GCF(66,30,598) x common factors =2 x 6 = 12

LCM(66,30,598) = ( 66 × 30 × 598 ) / 12

LCM(66,30,598) = 1184040 / 12

LCM(66,30,598) = 98670


Lets's calculate GCF of 376,866,553

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98670/1

Therefore the LCM of Fractions 66/376,30/866,598/553 is 98670

Greatest Common Factor of 376,866,553 By Matching Biggest Common Factor Method

Greatest Common Factor of 376,866,553 By Matching Biggest Common Factor Method

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Greatest Common Factor

We found the factors 376,866,553 . The biggest common factor number is the GCF number.
So the greatest common factor 376,866,553 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 66/376, 30/866, 598/553

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 66/376, 30/866, 598/553?

Answer: LCM of Numerators as per given numbers 66/376, 30/866, 598/553 is

LCM of Numerators i.e. for 66,30,598 is 98670

GCF of denominators i.e. for 376,866,553 is 1.

Thus, LCM of Fractions is 98670.Finally, LCM of Fractions for 66/376, 30/866, 598/553 is 98670.