Given numbers are 513,480,756,680

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

The LCM of 513,480,756,680 is 9767520.

Find LCM of 513,480,756,680 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 3 x 5 x 19 x 4 x 7 x 17 = 9767520

Therefore, the lowest common multiple of 513,480,756,680 is 9767520.

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.

513 x 480 x 756 x 680 = 126587059200

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

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

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

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,480,756,680, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

480:2x 2x 2x 2x 2x 3x 5

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

680:2x 2x 2x 5x 17

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 2x 2x 3x 3x 3x 3x 5 = 12960

Therefore, the value for common factors is 12960.

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 = 126587059200/(1x12960)

LCM = 126587059200/12960

LCM = 9767520

Thus, we can understand that the LCM of 513,480,756,680 is 9767520.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 760, 718, 695, 153
• LCM of 123, 898, 340, 278
• LCM of 919, 922, 985, 404
• LCM of 681, 898, 524, 840
• LCM of 775, 528, 638, 833

1. What is the LCM of 513, 480, 756, 680?

Answer: LCM of 513, 480, 756, 680 is 9767520.

2. How to calculate the LCM of 513, 480, 756, 680?

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 513, 480, 756, 680.

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}.