Given numbers are 471,988,234,780,784

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

The LCM of 471,988,234,780,784 is 1368123120.

Find LCM of 471,988,234,780,784 with Prime Factorization

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

2 x 2 x 3 x 13 x 157 x 19 x 3 x 5 x 196 = 1368123120

Therefore, the lowest common multiple of 471,988,234,780,784 is 1368123120.

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.

471 x 988 x 234 x 780 x 784 = 66589288496640

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.

471 : 1, 3, 157, 471

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

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

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,988,234,780,784, is 1.

Now, the common factors can be found like this.

471:3x 157

988:2x 2x 13x 19

234:2x 3x 3x 13

780:2x 2x 3x 5x 13

784:2x 2x 2x 2x 7x 7

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 13x 13 = 48672

Therefore, the value for common factors is 48672.

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 = 66589288496640/(1x48672)

LCM = 66589288496640/48672

LCM = 1368123120

Thus, we can understand that the LCM of 471,988,234,780,784 is 1368123120.

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

• LCM of 474, 928, 265, 495, 768
• LCM of 335, 109, 469, 468, 748
• LCM of 236, 345, 818, 399, 795
• LCM of 996, 250, 869, 995, 710
• LCM of 497, 265, 384, 148, 942

1. What is the LCM of 471, 988, 234, 780, 784?

Answer: LCM of 471, 988, 234, 780, 784 is 1368123120.

2. How to calculate the LCM of 471, 988, 234, 780, 784?

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 471, 988, 234, 780, 784.

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}.