Given numbers are 742,967,967,821

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

The LCM of 742,967,967,821 is 589078994.

Find LCM of 742,967,967,821 with Prime Factorization

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

967 x 742 x 1 x 1 x 821 = 589078994

Therefore, the lowest common multiple of 742,967,967,821 is 589078994.

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.

742 x 967 x 967 x 821 = 569639387198

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.

742 : 1, 2, 7, 14, 53, 106, 371, 742

967 : 1, 967

967 : 1, 967

821 : 1, 821

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,967,967,821, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

967:967

967:967

821:821

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

967 = 967

Therefore, the value for common factors is 967.

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 = 569639387198/(1x967)

LCM = 569639387198/967

LCM = 589078994

Thus, we can understand that the LCM of 742,967,967,821 is 589078994.

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

• LCM of 214, 312, 552, 673
• LCM of 230, 495, 605, 814
• LCM of 674, 383, 389, 778
• LCM of 927, 298, 180, 211
• LCM of 934, 103, 274, 283

1. What is the LCM of 742, 967, 967, 821?

Answer: LCM of 742, 967, 967, 821 is 589078994.

2. How to calculate the LCM of 742, 967, 967, 821?

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 742, 967, 967, 821.

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}.