Given numbers are 968,408,874,920,994

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

The LCM of 968,408,874,920,994 is 53610932760.

Find LCM of 968,408,874,920,994 with Prime Factorization

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

2 x 2 x 2 x 23 x 121 x 51 x 19 x 5 x 497 = 53610932760

Therefore, the lowest common multiple of 968,408,874,920,994 is 53610932760.

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.

968 x 408 x 874 x 920 x 994 = 315661172090880

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.

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

874 : 1, 2, 19, 23, 38, 46, 437, 874

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

994 : 1, 2, 7, 14, 71, 142, 497, 994

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,408,874,920,994, is 2.

Now, the common factors can be found like this.

968:2x 2x 2x 11x 11

408:2x 2x 2x 3x 17

874:2x 19x 23

920:2x 2x 2x 5x 23

994:2x 7x 71

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 2x 2x 23 = 2944

Therefore, the value for common factors is 2944.

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 = 315661172090880/(2x2944)

LCM = 315661172090880/5888

LCM = 53610932760

Thus, we can understand that the LCM of 968,408,874,920,994 is 53610932760.

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

• LCM of 769, 226, 914, 615, 298
• LCM of 611, 509, 988, 321, 631
• LCM of 897, 493, 500, 370, 719
• LCM of 295, 738, 845, 464, 213
• LCM of 379, 446, 866, 959, 981

1. What is the LCM of 968, 408, 874, 920, 994?

Answer: LCM of 968, 408, 874, 920, 994 is 53610932760.

2. How to calculate the LCM of 968, 408, 874, 920, 994?

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 968, 408, 874, 920, 994.

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}.