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LCM of 435, 614, 121, 752

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


Find the LCM of 435, 614, 121, 752 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 435, 614, 121, 752. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 435,614,121,752

Given numbers are 435,614,121,752

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

The LCM of 435,614,121,752 is 12151526640.

Find LCM of 435,614,121,752 with Prime Factorization


2 435, 614, 121, 752
435, 307, 121, 376

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

2 x 435 x 307 x 121 x 376 = 12151526640

Therefore, the lowest common multiple of 435,614,121,752 is 12151526640.

LCM Formula to Find Lowest Common Multiple of 435,614,121,752

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.

435 x 614 x 121 x 752 = 24303053280

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.

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

614 : 1, 2, 307, 614

121 : 1, 11, 121

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 435,614,121,752, is 1.

Now, the common factors can be found like this.

435:3x 5x 29

614:2x 307

121:11x 11

752:2x 2x 2x 2x 47

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 = 24303053280/(1x2)

LCM = 24303053280/2

LCM = 12151526640

Thus, we can understand that the LCM of 435,614,121,752 is 12151526640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 435, 614, 121, 752

1. What is the LCM of 435, 614, 121, 752?

Answer: LCM of 435, 614, 121, 752 is 12151526640.

2. How to calculate the LCM of 435, 614, 121, 752?

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 435, 614, 121, 752.

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}.