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LCM of 960, 756, 718, 469

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


Find the LCM of 960, 756, 718, 469 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 960, 756, 718, 469. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 960,756,718,469

Given numbers are 960,756,718,469

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

The LCM of 960,756,718,469 is 1454725440.

Find LCM of 960,756,718,469 with Prime Factorization


2 960, 756, 718, 469
2 480, 378, 359, 469
3 240, 189, 359, 469
7 80, 63, 359, 469
80, 9, 359, 67

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

2 x 2 x 3 x 7 x 80 x 9 x 359 x 67 = 1454725440

Therefore, the lowest common multiple of 960,756,718,469 is 1454725440.

LCM Formula to Find Lowest Common Multiple of 960,756,718,469

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.

960 x 756 x 718 x 469 = 244393873920

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

718 : 1, 2, 359, 718

469 : 1, 7, 67, 469

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,756,718,469, is 1.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

756:2x 2x 3x 3x 3x 7

718:2x 359

469:7x 67

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

2x 2x 2x 3x 7 = 168

Therefore, the value for common factors is 168.

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 = 244393873920/(1x168)

LCM = 244393873920/168

LCM = 1454725440

Thus, we can understand that the LCM of 960,756,718,469 is 1454725440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 960, 756, 718, 469

1. What is the LCM of 960, 756, 718, 469?

Answer: LCM of 960, 756, 718, 469 is 1454725440.

2. How to calculate the LCM of 960, 756, 718, 469?

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 960, 756, 718, 469.

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}.