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LCM of 757, 159, 424, 730

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


Find the LCM of 757, 159, 424, 730 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 757, 159, 424, 730. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 757,159,424,730

Given numbers are 757,159,424,730

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

The LCM of 757,159,424,730 is 351459960.

Find LCM of 757,159,424,730 with Prime Factorization


2 757, 159, 424, 730
53 757, 159, 212, 365
757, 3, 4, 365

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

2 x 53 x 757 x 3 x 4 x 365 = 351459960

Therefore, the lowest common multiple of 757,159,424,730 is 351459960.

LCM Formula to Find Lowest Common Multiple of 757,159,424,730

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.

757 x 159 x 424 x 730 = 37254755760

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.

757 : 1, 757

159 : 1, 3, 53, 159

424 : 1, 2, 4, 8, 53, 106, 212, 424

730 : 1, 2, 5, 10, 73, 146, 365, 730

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,159,424,730, is 1.

Now, the common factors can be found like this.

757:757

159:3x 53

424:2x 2x 2x 53

730:2x 5x 73

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

2x 53 = 106

Therefore, the value for common factors is 106.

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 = 37254755760/(1x106)

LCM = 37254755760/106

LCM = 351459960

Thus, we can understand that the LCM of 757,159,424,730 is 351459960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 757, 159, 424, 730

1. What is the LCM of 757, 159, 424, 730?

Answer: LCM of 757, 159, 424, 730 is 351459960.

2. How to calculate the LCM of 757, 159, 424, 730?

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 757, 159, 424, 730.

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}.