Given numbers are 210,193,520,650,428

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

The LCM of 210,193,520,650,428 is 1127544600.

Find LCM of 210,193,520,650,428 with Prime Factorization

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

2 x 2 x 5 x 13 x 21 x 193 x 2 x 5 x 107 = 1127544600

Therefore, the lowest common multiple of 210,193,520,650,428 is 1127544600.

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.

210 x 193 x 520 x 650 x 428 = 5863231920000

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.

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

193 : 1, 193

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,193,520,650,428, is 1.

Now, the common factors can be found like this.

210:2x 3x 5x 7

193:193

520:2x 2x 2x 5x 13

650:2x 5x 5x 13

428:2x 2x 107

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 5x 5x 13 = 5200

Therefore, the value for common factors is 5200.

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 = 5863231920000/(1x5200)

LCM = 5863231920000/5200

LCM = 1127544600

Thus, we can understand that the LCM of 210,193,520,650,428 is 1127544600.

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

• LCM of 456, 503, 810, 136, 665
• LCM of 761, 412, 637, 123, 602
• LCM of 988, 788, 876, 388, 104
• LCM of 762, 173, 829, 948, 745
• LCM of 462, 767, 400, 905, 547

1. What is the LCM of 210, 193, 520, 650, 428?

Answer: LCM of 210, 193, 520, 650, 428 is 1127544600.

2. How to calculate the LCM of 210, 193, 520, 650, 428?

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 210, 193, 520, 650, 428.

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}.