Least Common Multiple of 414/727, 270/490, 676/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 414/727, 270/490, 676/176 quickly i.e. 2098980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 414/727, 270/490, 676/176 is 2098980.

LCM(414/727, 270/490, 676/176) = 2098980

LCM of 414/727, 270/490, 676/176

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 414/727,270/490,676/176

Given numbers are 414/727,270/490,676/176

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 414,270,676

Least Common Multiple of Numerators i.e. LCM of 414,270,676 is 2098980.

GCF of Denominators means GCF of 727,490,176 as per the given fractions.

GCF of 727,490,176 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 414,270,676

LCM of Fractions 414/727,270/490,676/176 is 2098980

2 414, 270, 676
3 207, 135, 338
3 69, 45, 338
23, 15, 338

∴ So the LCM of the given numbers is 2 x 3 x 3 x 23 x 15 x 338 = 2098980

Least Common Multiple of 414,270,676 with GCF Formula

Least Common Multiple of 414,270,676 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 414,270,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,270,676) = 2

common factors(in case of two or more numbers have common factors) = 18

GCF(414,270,676) x common factors =2 x 18 = 36

LCM(414,270,676) = ( 414 × 270 × 676 ) / 36

LCM(414,270,676) = 75563280 / 36

LCM(414,270,676) = 2098980


Lets's calculate GCF of 727,490,176

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2098980/1

Therefore the LCM of Fractions 414/727,270/490,676/176 is 2098980

Greatest Common Factor of 727,490,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 727,490,176 By Matching Biggest Common Factor Method

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 727,490,176 . The biggest common factor number is the GCF number.
So the greatest common factor 727,490,176 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 414/727, 270/490, 676/176

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 414/727, 270/490, 676/176?

Answer: LCM of Numerators as per given numbers 414/727, 270/490, 676/176 is

LCM of Numerators i.e. for 414,270,676 is 2098980

GCF of denominators i.e. for 727,490,176 is 1.

Thus, LCM of Fractions is 2098980.Finally, LCM of Fractions for 414/727, 270/490, 676/176 is 2098980.