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LCM of 323, 421, 435, 922, 740

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


Find the LCM of 323, 421, 435, 922, 740 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 323, 421, 435, 922, 740. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 323,421,435,922,740

Given numbers are 323,421,435,922,740

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

The LCM of 323,421,435,922,740 is 4035863933940.

Find LCM of 323,421,435,922,740 with Prime Factorization


2 323, 421, 435, 922, 740
5 323, 421, 435, 461, 370
323, 421, 87, 461, 74

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

2 x 5 x 323 x 421 x 87 x 461 x 74 = 4035863933940

Therefore, the lowest common multiple of 323,421,435,922,740 is 4035863933940.

LCM Formula to Find Lowest Common Multiple of 323,421,435,922,740

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.

323 x 421 x 435 x 922 x 740 = 40358639339400

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.

323 : 1, 17, 19, 323

421 : 1, 421

435 : 1, 3, 5, 15, 29, 87, 145, 435

922 : 1, 2, 461, 922

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,421,435,922,740, is 1.

Now, the common factors can be found like this.

323:17x 19

421:421

435:3x 5x 29

922:2x 461

740:2x 2x 5x 37

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 40358639339400/(1x10)

LCM = 40358639339400/10

LCM = 4035863933940

Thus, we can understand that the LCM of 323,421,435,922,740 is 4035863933940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 323, 421, 435, 922, 740

1. What is the LCM of 323, 421, 435, 922, 740?

Answer: LCM of 323, 421, 435, 922, 740 is 4035863933940.

2. How to calculate the LCM of 323, 421, 435, 922, 740?

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 323, 421, 435, 922, 740.

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}.