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LCM of 734, 502, 649, 759

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


Find the LCM of 734, 502, 649, 759 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 734, 502, 649, 759. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 734,502,649,759

Given numbers are 734,502,649,759

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

The LCM of 734,502,649,759 is 8250182754.

Find LCM of 734,502,649,759 with Prime Factorization


2 734, 502, 649, 759
11 367, 251, 649, 759
367, 251, 59, 69

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

2 x 11 x 367 x 251 x 59 x 69 = 8250182754

Therefore, the lowest common multiple of 734,502,649,759 is 8250182754.

LCM Formula to Find Lowest Common Multiple of 734,502,649,759

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.

734 x 502 x 649 x 759 = 181504020588

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.

734 : 1, 2, 367, 734

502 : 1, 2, 251, 502

649 : 1, 11, 59, 649

759 : 1, 3, 11, 23, 33, 69, 253, 759

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,502,649,759, is 1.

Now, the common factors can be found like this.

734:2x 367

502:2x 251

649:11x 59

759:3x 11x 23

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 181504020588/(1x22)

LCM = 181504020588/22

LCM = 8250182754

Thus, we can understand that the LCM of 734,502,649,759 is 8250182754.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 734, 502, 649, 759

1. What is the LCM of 734, 502, 649, 759?

Answer: LCM of 734, 502, 649, 759 is 8250182754.

2. How to calculate the LCM of 734, 502, 649, 759?

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 734, 502, 649, 759.

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}.