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LCM of 433, 835, 748, 698

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


Find the LCM of 433, 835, 748, 698 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 433, 835, 748, 698. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 433,835,748,698

Given numbers are 433,835,748,698

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

The LCM of 433,835,748,698 is 94384655860.

Find LCM of 433,835,748,698 with Prime Factorization


2 433, 835, 748, 698
433, 835, 374, 349

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

2 x 433 x 835 x 374 x 349 = 94384655860

Therefore, the lowest common multiple of 433,835,748,698 is 94384655860.

LCM Formula to Find Lowest Common Multiple of 433,835,748,698

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.

433 x 835 x 748 x 698 = 188769311720

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.

433 : 1, 433

835 : 1, 5, 167, 835

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

698 : 1, 2, 349, 698

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 433,835,748,698, is 1.

Now, the common factors can be found like this.

433:433

835:5x 167

748:2x 2x 11x 17

698:2x 349

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 = 188769311720/(1x2)

LCM = 188769311720/2

LCM = 94384655860

Thus, we can understand that the LCM of 433,835,748,698 is 94384655860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 433, 835, 748, 698

1. What is the LCM of 433, 835, 748, 698?

Answer: LCM of 433, 835, 748, 698 is 94384655860.

2. How to calculate the LCM of 433, 835, 748, 698?

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 433, 835, 748, 698.

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}.