Least Common Multiple of 66/902, 504/724, 149/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/902, 504/724, 149/670 quickly i.e. 413028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/902, 504/724, 149/670 is 413028.

LCM(66/902, 504/724, 149/670) = 413028

LCM of 66/902, 504/724, 149/670

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 66/902,504/724,149/670

Given numbers are 66/902,504/724,149/670

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 66,504,149

Least Common Multiple of Numerators i.e. LCM of 66,504,149 is 826056.

GCF of Denominators means GCF of 902,724,670 as per the given fractions.

GCF of 902,724,670 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,504,149

LCM of Fractions 66/902,504/724,149/670 is 413028

2 66, 504, 149
3 33, 252, 149
11, 84, 149

∴ So the LCM of the given numbers is 2 x 3 x 11 x 84 x 149 = 826056

Least Common Multiple of 66,504,149 with GCF Formula

Least Common Multiple of 66,504,149 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 66,504,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,504,149) = 1

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

GCF(66,504,149) x common factors =1 x 6 = 6

LCM(66,504,149) = ( 66 × 504 × 149 ) / 6

LCM(66,504,149) = 4956336 / 6

LCM(66,504,149) = 826056


Lets's calculate GCF of 902,724,670

2 902, 724, 670
451, 362, 335

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 826056/2

Therefore the LCM of Fractions 66/902,504/724,149/670 is 413028

Greatest Common Factor of 902,724,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,724,670 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 902,724,670 . The biggest common factor number is the GCF number.
So the greatest common factor 902,724,670 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 66/902, 504/724, 149/670

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 66/902, 504/724, 149/670?

Answer: LCM of Numerators as per given numbers 66/902, 504/724, 149/670 is

LCM of Numerators i.e. for 66,504,149 is 826056

GCF of denominators i.e. for 902,724,670 is 2.

Thus, LCM of Fractions is 413028.Finally, LCM of Fractions for 66/902, 504/724, 149/670 is 413028.