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LCM of 753, 357, 410, 720

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


Find the LCM of 753, 357, 410, 720 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 753, 357, 410, 720. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 753,357,410,720

Given numbers are 753,357,410,720

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

The LCM of 753,357,410,720 is 881732880.

Find LCM of 753,357,410,720 with Prime Factorization


2 753, 357, 410, 720
3 753, 357, 205, 360
5 251, 119, 205, 120
251, 119, 41, 24

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

2 x 3 x 5 x 251 x 119 x 41 x 24 = 881732880

Therefore, the lowest common multiple of 753,357,410,720 is 881732880.

LCM Formula to Find Lowest Common Multiple of 753,357,410,720

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.

753 x 357 x 410 x 720 = 79355959200

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.

753 : 1, 3, 251, 753

357 : 1, 3, 7, 17, 21, 51, 119, 357

410 : 1, 2, 5, 10, 41, 82, 205, 410

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 753,357,410,720, is 1.

Now, the common factors can be found like this.

753:3x 251

357:3x 7x 17

410:2x 5x 41

720:2x 2x 2x 2x 3x 3x 5

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

2x 3x 3x 5 = 90

Therefore, the value for common factors is 90.

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 = 79355959200/(1x90)

LCM = 79355959200/90

LCM = 881732880

Thus, we can understand that the LCM of 753,357,410,720 is 881732880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 753, 357, 410, 720

1. What is the LCM of 753, 357, 410, 720?

Answer: LCM of 753, 357, 410, 720 is 881732880.

2. How to calculate the LCM of 753, 357, 410, 720?

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 753, 357, 410, 720.

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}.