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LCM of 874, 337, 780, 409

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


Find the LCM of 874, 337, 780, 409 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 874, 337, 780, 409. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 874,337,780,409

Given numbers are 874,337,780,409

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

The LCM of 874,337,780,409 is 46981756380.

Find LCM of 874,337,780,409 with Prime Factorization


2 874, 337, 780, 409
437, 337, 390, 409

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

2 x 437 x 337 x 390 x 409 = 46981756380

Therefore, the lowest common multiple of 874,337,780,409 is 46981756380.

LCM Formula to Find Lowest Common Multiple of 874,337,780,409

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.

874 x 337 x 780 x 409 = 93963512760

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.

874 : 1, 2, 19, 23, 38, 46, 437, 874

337 : 1, 337

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,337,780,409, is 1.

Now, the common factors can be found like this.

874:2x 19x 23

337:337

780:2x 2x 3x 5x 13

409:409

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

2 = 2

Therefore, the value for common factors is 2.

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 = 93963512760/(1x2)

LCM = 93963512760/2

LCM = 46981756380

Thus, we can understand that the LCM of 874,337,780,409 is 46981756380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 874, 337, 780, 409

1. What is the LCM of 874, 337, 780, 409?

Answer: LCM of 874, 337, 780, 409 is 46981756380.

2. How to calculate the LCM of 874, 337, 780, 409?

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 874, 337, 780, 409.

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}.