Given numbers are 701,728,900,653

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

The LCM of 701,728,900,653 is 74979941400.

Find LCM of 701,728,900,653 with Prime Factorization

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

2 x 2 x 701 x 182 x 225 x 653 = 74979941400

Therefore, the lowest common multiple of 701,728,900,653 is 74979941400.

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.

701 x 728 x 900 x 653 = 299919765600

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.

701 : 1, 701

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

653 : 1, 653

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,728,900,653, is 1.

Now, the common factors can be found like this.

701:701

728:2x 2x 2x 7x 13

900:2x 2x 3x 3x 5x 5

653:653

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 299919765600/(1x4)

LCM = 299919765600/4

LCM = 74979941400

Thus, we can understand that the LCM of 701,728,900,653 is 74979941400.

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

• LCM of 985, 228, 447, 148
• LCM of 726, 613, 434, 793
• LCM of 526, 823, 267, 907
• LCM of 927, 689, 904, 576
• LCM of 198, 843, 433, 894

1. What is the LCM of 701, 728, 900, 653?

Answer: LCM of 701, 728, 900, 653 is 74979941400.

2. How to calculate the LCM of 701, 728, 900, 653?

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 701, 728, 900, 653.

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}.