Given numbers are 723,528,211,742

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

The LCM of 723,528,211,742 is 9961100688.

Find LCM of 723,528,211,742 with Prime Factorization

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

2 x 3 x 241 x 88 x 211 x 371 = 9961100688

Therefore, the lowest common multiple of 723,528,211,742 is 9961100688.

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.

723 x 528 x 211 x 742 = 59766604128

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.

723 : 1, 3, 241, 723

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

211 : 1, 211

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,528,211,742, is 1.

Now, the common factors can be found like this.

723:3x 241

528:2x 2x 2x 2x 3x 11

211:211

742:2x 7x 53

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 59766604128/(1x6)

LCM = 59766604128/6

LCM = 9961100688

Thus, we can understand that the LCM of 723,528,211,742 is 9961100688.

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

• LCM of 199, 611, 824, 818
• LCM of 892, 749, 520, 606
• LCM of 726, 979, 825, 776
• LCM of 524, 616, 493, 574
• LCM of 445, 643, 857, 142

1. What is the LCM of 723, 528, 211, 742?

Answer: LCM of 723, 528, 211, 742 is 9961100688.

2. How to calculate the LCM of 723, 528, 211, 742?

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 723, 528, 211, 742.

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}.