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LCM of 144, 386, 974, 455, 975

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 144, 386, 974, 455, 975 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 144, 386, 974, 455, 975. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 144,386,974,455,975

Given numbers are 144,386,974,455,975

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 144,386,974,455,975 is 30791451600.

Find LCM of 144,386,974,455,975 with Prime Factorization


2 144, 386, 974, 455, 975
3 72, 193, 487, 455, 975
5 24, 193, 487, 455, 325
13 24, 193, 487, 91, 65
24, 193, 487, 7, 5

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 5 x 13 x 24 x 193 x 487 x 7 x 5 = 30791451600

Therefore, the lowest common multiple of 144,386,974,455,975 is 30791451600.

LCM Formula to Find Lowest Common Multiple of 144,386,974,455,975

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

144 x 386 x 974 x 455 x 975 = 24017332248000

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

386 : 1, 2, 193, 386

974 : 1, 2, 487, 974

455 : 1, 5, 7, 13, 35, 65, 91, 455

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,386,974,455,975, is 1.

Now, the common factors can be found like this.

144:2x 2x 2x 2x 3x 3

386:2x 193

974:2x 487

455:5x 7x 13

975:3x 5x 5x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 3x 5x 13 = 780

Therefore, the value for common factors is 780.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 24017332248000/(1x780)

LCM = 24017332248000/780

LCM = 30791451600

Thus, we can understand that the LCM of 144,386,974,455,975 is 30791451600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 144, 386, 974, 455, 975

1. What is the LCM of 144, 386, 974, 455, 975?

Answer: LCM of 144, 386, 974, 455, 975 is 30791451600.

2. How to calculate the LCM of 144, 386, 974, 455, 975?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 144, 386, 974, 455, 975.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.