Given numbers are 630,902,917,303,924

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

The LCM of 630,902,917,303,924 is 7518648060.

Find LCM of 630,902,917,303,924 with Prime Factorization

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

2 x 3 x 7 x 11 x 15 x 41 x 131 x 101 x 2 = 7518648060

Therefore, the lowest common multiple of 630,902,917,303,924 is 7518648060.

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.

630 x 902 x 917 x 303 x 924 = 145891846956240

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.

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

902 : 1, 2, 11, 22, 41, 82, 451, 902

917 : 1, 7, 131, 917

303 : 1, 3, 101, 303

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,902,917,303,924, is 1.

Now, the common factors can be found like this.

630:2x 3x 3x 5x 7

902:2x 11x 41

917:7x 131

303:3x 101

924:2x 2x 3x 7x 11

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 3x 3x 7x 7x 11 = 19404

Therefore, the value for common factors is 19404.

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 = 145891846956240/(1x19404)

LCM = 145891846956240/19404

LCM = 7518648060

Thus, we can understand that the LCM of 630,902,917,303,924 is 7518648060.

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

• LCM of 377, 482, 912, 458, 148
• LCM of 639, 480, 678, 363, 626
• LCM of 293, 278, 111, 195, 601
• LCM of 287, 708, 902, 646, 206
• LCM of 977, 844, 954, 473, 517

1. What is the LCM of 630, 902, 917, 303, 924?

Answer: LCM of 630, 902, 917, 303, 924 is 7518648060.

2. How to calculate the LCM of 630, 902, 917, 303, 924?

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 630, 902, 917, 303, 924.

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}.