Given numbers are 949,471,700,512,630

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

The LCM of 949,471,700,512,630 is 120147955200.

Find LCM of 949,471,700,512,630 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 949 x 157 x 5 x 128 x 3 = 120147955200

Therefore, the lowest common multiple of 949,471,700,512,630 is 120147955200.

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.

949 x 471 x 700 x 512 x 630 = 100924282368000

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.

949 : 1, 13, 73, 949

471 : 1, 3, 157, 471

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,471,700,512,630, is 1.

Now, the common factors can be found like this.

949:13x 73

471:3x 157

700:2x 2x 5x 5x 7

512:2x 2x 2x 2x 2x 2x 2x 2x 2

630:2x 3x 3x 5x 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 3x 5x 7 = 840

Therefore, the value for common factors is 840.

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 = 100924282368000/(1x840)

LCM = 100924282368000/840

LCM = 120147955200

Thus, we can understand that the LCM of 949,471,700,512,630 is 120147955200.

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

• LCM of 641, 963, 133, 155, 330
• LCM of 552, 250, 625, 279, 923
• LCM of 554, 442, 262, 430, 339
• LCM of 279, 569, 751, 619, 559
• LCM of 652, 304, 737, 851, 281

1. What is the LCM of 949, 471, 700, 512, 630?

Answer: LCM of 949, 471, 700, 512, 630 is 120147955200.

2. How to calculate the LCM of 949, 471, 700, 512, 630?

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 949, 471, 700, 512, 630.

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}.