Least Common Multiple of 490/66, 690/56, 450/227

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 490/66, 690/56, 450/227 quickly i.e. 507150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 490/66, 690/56, 450/227 is 507150.

LCM(490/66, 690/56, 450/227) = 507150

LCM of 490/66, 690/56, 450/227

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 490/66,690/56,450/227

Given numbers are 490/66,690/56,450/227

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 490,690,450

Least Common Multiple of Numerators i.e. LCM of 490,690,450 is 507150.

GCF of Denominators means GCF of 66,56,227 as per the given fractions.

GCF of 66,56,227 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 490,690,450

LCM of Fractions 490/66,690/56,450/227 is 507150

2 490, 690, 450
3 245, 345, 225
5 245, 115, 75
49, 23, 15

∴ So the LCM of the given numbers is 2 x 3 x 5 x 49 x 23 x 15 = 507150

Least Common Multiple of 490,690,450 with GCF Formula

Least Common Multiple of 490,690,450 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 490,690,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,690,450) = 10

common factors(in case of two or more numbers have common factors) = 30

GCF(490,690,450) x common factors =10 x 30 = 300

LCM(490,690,450) = ( 490 × 690 × 450 ) / 300

LCM(490,690,450) = 152145000 / 300

LCM(490,690,450) = 507150


Lets's calculate GCF of 66,56,227

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 507150/1

Therefore the LCM of Fractions 490/66,690/56,450/227 is 507150

Greatest Common Factor of 66,56,227 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,56,227 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Greatest Common Factor

We found the factors 66,56,227 . The biggest common factor number is the GCF number.
So the greatest common factor 66,56,227 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 490/66, 690/56, 450/227

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 490/66, 690/56, 450/227?

Answer: LCM of Numerators as per given numbers 490/66, 690/56, 450/227 is

LCM of Numerators i.e. for 490,690,450 is 507150

GCF of denominators i.e. for 66,56,227 is 1.

Thus, LCM of Fractions is 507150.Finally, LCM of Fractions for 490/66, 690/56, 450/227 is 507150.