Least Common Multiple of 505/446, 654/739, 135/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 505/446, 654/739, 135/708 quickly i.e. 2972430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 505/446, 654/739, 135/708 is 2972430.

LCM(505/446, 654/739, 135/708) = 2972430

LCM of 505/446, 654/739, 135/708

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 505/446,654/739,135/708

Given numbers are 505/446,654/739,135/708

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 505,654,135

Least Common Multiple of Numerators i.e. LCM of 505,654,135 is 2972430.

GCF of Denominators means GCF of 446,739,708 as per the given fractions.

GCF of 446,739,708 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 505,654,135

LCM of Fractions 505/446,654/739,135/708 is 2972430

3 505, 654, 135
5 505, 218, 45
101, 218, 9

∴ So the LCM of the given numbers is 3 x 5 x 101 x 218 x 9 = 2972430

Least Common Multiple of 505,654,135 with GCF Formula

Least Common Multiple of 505,654,135 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 505,654,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,654,135) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(505,654,135) x common factors =1 x 15 = 15

LCM(505,654,135) = ( 505 × 654 × 135 ) / 15

LCM(505,654,135) = 44586450 / 15

LCM(505,654,135) = 2972430


Lets's calculate GCF of 446,739,708

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2972430/1

Therefore the LCM of Fractions 505/446,654/739,135/708 is 2972430

Greatest Common Factor of 446,739,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 446,739,708 By Matching Biggest Common Factor Method

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 446,739,708 . The biggest common factor number is the GCF number.
So the greatest common factor 446,739,708 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 505/446, 654/739, 135/708

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 505/446, 654/739, 135/708?

Answer: LCM of Numerators as per given numbers 505/446, 654/739, 135/708 is

LCM of Numerators i.e. for 505,654,135 is 2972430

GCF of denominators i.e. for 446,739,708 is 1.

Thus, LCM of Fractions is 2972430.Finally, LCM of Fractions for 505/446, 654/739, 135/708 is 2972430.