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LCM of 824, 915, 743, 743

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


Find the LCM of 824, 915, 743, 743 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 824, 915, 743, 743. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 824,915,743,743

Given numbers are 824,915,743,743

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

The LCM of 824,915,743,743 is 560192280.

Find LCM of 824,915,743,743 with Prime Factorization


743 824, 915, 743, 743
824, 915, 1, 1

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

743 x 824 x 915 x 1 x 1 = 560192280

Therefore, the lowest common multiple of 824,915,743,743 is 560192280.

LCM Formula to Find Lowest Common Multiple of 824,915,743,743

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.

824 x 915 x 743 x 743 = 416222864040

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.

824 : 1, 2, 4, 8, 103, 206, 412, 824

915 : 1, 3, 5, 15, 61, 183, 305, 915

743 : 1, 743

743 : 1, 743

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,915,743,743, is 1.

Now, the common factors can be found like this.

824:2x 2x 2x 103

915:3x 5x 61

743:743

743:743

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

743 = 743

Therefore, the value for common factors is 743.

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 = 416222864040/(1x743)

LCM = 416222864040/743

LCM = 560192280

Thus, we can understand that the LCM of 824,915,743,743 is 560192280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 824, 915, 743, 743

1. What is the LCM of 824, 915, 743, 743?

Answer: LCM of 824, 915, 743, 743 is 560192280.

2. How to calculate the LCM of 824, 915, 743, 743?

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 824, 915, 743, 743.

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}.