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LCM of 738, 410, 146, 487

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


Find the LCM of 738, 410, 146, 487 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 738, 410, 146, 487. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 738,410,146,487

Given numbers are 738,410,146,487

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

The LCM of 738,410,146,487 is 131183190.

Find LCM of 738,410,146,487 with Prime Factorization


2 738, 410, 146, 487
41 369, 205, 73, 487
9, 5, 73, 487

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

2 x 41 x 9 x 5 x 73 x 487 = 131183190

Therefore, the lowest common multiple of 738,410,146,487 is 131183190.

LCM Formula to Find Lowest Common Multiple of 738,410,146,487

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.

738 x 410 x 146 x 487 = 21514043160

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.

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

410 : 1, 2, 5, 10, 41, 82, 205, 410

146 : 1, 2, 73, 146

487 : 1, 487

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,410,146,487, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

410:2x 5x 41

146:2x 73

487:487

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 41 = 164

Therefore, the value for common factors is 164.

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 = 21514043160/(1x164)

LCM = 21514043160/164

LCM = 131183190

Thus, we can understand that the LCM of 738,410,146,487 is 131183190.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 738, 410, 146, 487

1. What is the LCM of 738, 410, 146, 487?

Answer: LCM of 738, 410, 146, 487 is 131183190.

2. How to calculate the LCM of 738, 410, 146, 487?

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 738, 410, 146, 487.

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}.