Least Common Multiple of 413/490, 945/364, 151/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 413/490, 945/364, 151/132 quickly i.e. 8419005/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 413/490, 945/364, 151/132 is 8419005/2.

LCM(413/490, 945/364, 151/132) = 8419005/2

LCM of 413/490, 945/364, 151/132

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 413/490,945/364,151/132

Given numbers are 413/490,945/364,151/132

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 413,945,151

Least Common Multiple of Numerators i.e. LCM of 413,945,151 is 8419005.

GCF of Denominators means GCF of 490,364,132 as per the given fractions.

GCF of 490,364,132 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 413,945,151

LCM of Fractions 413/490,945/364,151/132 is 8419005/2

7 413, 945, 151
59, 135, 151

∴ So the LCM of the given numbers is 7 x 59 x 135 x 151 = 8419005

Least Common Multiple of 413,945,151 with GCF Formula

Least Common Multiple of 413,945,151 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 413,945,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(413,945,151) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(413,945,151) x common factors =1 x 7 = 7

LCM(413,945,151) = ( 413 × 945 × 151 ) / 7

LCM(413,945,151) = 58933035 / 7

LCM(413,945,151) = 8419005


Lets's calculate GCF of 490,364,132

2 490, 364, 132
245, 182, 66

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8419005/2

Therefore the LCM of Fractions 413/490,945/364,151/132 is 8419005/2

Greatest Common Factor of 490,364,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,364,132 By Matching Biggest Common Factor Method

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 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 490,364,132 . The biggest common factor number is the GCF number.
So the greatest common factor 490,364,132 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 413/490, 945/364, 151/132

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 413/490, 945/364, 151/132?

Answer: LCM of Numerators as per given numbers 413/490, 945/364, 151/132 is

LCM of Numerators i.e. for 413,945,151 is 8419005

GCF of denominators i.e. for 490,364,132 is 2.

Thus, LCM of Fractions is 8419005/2.Finally, LCM of Fractions for 413/490, 945/364, 151/132 is 8419005/2.