Given numbers are 827,294,301,974

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

The LCM of 827,294,301,974 is 5091552858.

Find LCM of 827,294,301,974 with Prime Factorization

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

2 x 7 x 827 x 21 x 43 x 487 = 5091552858

Therefore, the lowest common multiple of 827,294,301,974 is 5091552858.

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.

827 x 294 x 301 x 974 = 71281740012

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.

827 : 1, 827

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

301 : 1, 7, 43, 301

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,294,301,974, is 1.

Now, the common factors can be found like this.

827:827

294:2x 3x 7x 7

301:7x 43

974:2x 487

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 71281740012/(1x14)

LCM = 71281740012/14

LCM = 5091552858

Thus, we can understand that the LCM of 827,294,301,974 is 5091552858.

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

• LCM of 677, 939, 995, 463
• LCM of 603, 111, 630, 726
• LCM of 426, 373, 396, 847
• LCM of 861, 662, 518, 828
• LCM of 461, 566, 278, 718

1. What is the LCM of 827, 294, 301, 974?

Answer: LCM of 827, 294, 301, 974 is 5091552858.

2. How to calculate the LCM of 827, 294, 301, 974?

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 827, 294, 301, 974.

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}.