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LCM of 750, 641, 409, 692

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


Find the LCM of 750, 641, 409, 692 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 750, 641, 409, 692. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 750,641,409,692

Given numbers are 750,641,409,692

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

The LCM of 750,641,409,692 is 68032855500.

Find LCM of 750,641,409,692 with Prime Factorization


2 750, 641, 409, 692
375, 641, 409, 346

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

2 x 375 x 641 x 409 x 346 = 68032855500

Therefore, the lowest common multiple of 750,641,409,692 is 68032855500.

LCM Formula to Find Lowest Common Multiple of 750,641,409,692

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.

750 x 641 x 409 x 692 = 136065711000

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.

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

641 : 1, 641

409 : 1, 409

692 : 1, 2, 4, 173, 346, 692

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,641,409,692, is 1.

Now, the common factors can be found like this.

750:2x 3x 5x 5x 5

641:641

409:409

692:2x 2x 173

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 = 136065711000/(1x2)

LCM = 136065711000/2

LCM = 68032855500

Thus, we can understand that the LCM of 750,641,409,692 is 68032855500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 750, 641, 409, 692

1. What is the LCM of 750, 641, 409, 692?

Answer: LCM of 750, 641, 409, 692 is 68032855500.

2. How to calculate the LCM of 750, 641, 409, 692?

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 750, 641, 409, 692.

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}.