Given numbers are 968,438,974,329,678

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

The LCM of 968,438,974,329,678 is 3838157346408.

Find LCM of 968,438,974,329,678 with Prime Factorization

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

2 x 3 x 484 x 73 x 487 x 329 x 113 = 3838157346408

Therefore, the lowest common multiple of 968,438,974,329,678 is 3838157346408.

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 438 x 974 x 329 x 678 = 92115776313792

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

438 : 1, 2, 3, 6, 73, 146, 219, 438

974 : 1, 2, 487, 974

329 : 1, 7, 47, 329

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,438,974,329,678, is 1.

Now, the common factors can be found like this.

968:2x 2x 2x 11x 11

438:2x 3x 73

974:2x 487

329:7x 47

678:2x 3x 113

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 3 = 24

Therefore, the value for common factors is 24.

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 = 92115776313792/(1x24)

LCM = 92115776313792/24

LCM = 3838157346408

Thus, we can understand that the LCM of 968,438,974,329,678 is 3838157346408.

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

• LCM of 921, 921, 499, 664, 222
• LCM of 700, 498, 994, 419, 836
• LCM of 340, 554, 949, 743, 171
• LCM of 677, 169, 213, 868, 519
• LCM of 344, 325, 184, 978, 448

1. What is the LCM of 968, 438, 974, 329, 678?

Answer: LCM of 968, 438, 974, 329, 678 is 3838157346408.

2. How to calculate the LCM of 968, 438, 974, 329, 678?

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, 438, 974, 329, 678.

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}.