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LCM of 725, 968, 433, 407

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


Find the LCM of 725, 968, 433, 407 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 725, 968, 433, 407. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 725,968,433,407

Given numbers are 725,968,433,407

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

The LCM of 725,968,433,407 is 11243537800.

Find LCM of 725,968,433,407 with Prime Factorization


11 725, 968, 433, 407
725, 88, 433, 37

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

11 x 725 x 88 x 433 x 37 = 11243537800

Therefore, the lowest common multiple of 725,968,433,407 is 11243537800.

LCM Formula to Find Lowest Common Multiple of 725,968,433,407

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.

725 x 968 x 433 x 407 = 123678915800

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.

725 : 1, 5, 25, 29, 145, 725

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

433 : 1, 433

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,968,433,407, is 1.

Now, the common factors can be found like this.

725:5x 5x 29

968:2x 2x 2x 11x 11

433:433

407:11x 37

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

11 = 11

Therefore, the value for common factors is 11.

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 = 123678915800/(1x11)

LCM = 123678915800/11

LCM = 11243537800

Thus, we can understand that the LCM of 725,968,433,407 is 11243537800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 725, 968, 433, 407

1. What is the LCM of 725, 968, 433, 407?

Answer: LCM of 725, 968, 433, 407 is 11243537800.

2. How to calculate the LCM of 725, 968, 433, 407?

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 725, 968, 433, 407.

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}.