Given numbers are 468,780,970,107,480

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

The LCM of 468,780,970,107,480 is 194294880.

Find LCM of 468,780,970,107,480 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 3 x 1 x 97 x 107 x 8 = 194294880

Therefore, the lowest common multiple of 468,780,970,107,480 is 194294880.

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.

468 x 780 x 970 x 107 x 480 = 18186000768000

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

970 : 1, 2, 5, 10, 97, 194, 485, 970

107 : 1, 107

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,780,970,107,480, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

780:2x 2x 3x 5x 13

970:2x 5x 97

107:107

480:2x 2x 2x 2x 2x 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 2x 2x 2x 2x 3x 3x 5x 5x 13 = 93600

Therefore, the value for common factors is 93600.

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 = 18186000768000/(1x93600)

LCM = 18186000768000/93600

LCM = 194294880

Thus, we can understand that the LCM of 468,780,970,107,480 is 194294880.

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

• LCM of 360, 992, 663, 683, 308
• LCM of 557, 197, 763, 913, 471
• LCM of 503, 379, 801, 157, 783
• LCM of 867, 124, 627, 906, 930
• LCM of 815, 358, 892, 950, 791

1. What is the LCM of 468, 780, 970, 107, 480?

Answer: LCM of 468, 780, 970, 107, 480 is 194294880.

2. How to calculate the LCM of 468, 780, 970, 107, 480?

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 468, 780, 970, 107, 480.

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}.