Given numbers are 975,202,803,728

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

The LCM of 975,202,803,728 is 4428223800.

Find LCM of 975,202,803,728 with Prime Factorization

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

2 x 13 x 75 x 101 x 803 x 28 = 4428223800

Therefore, the lowest common multiple of 975,202,803,728 is 4428223800.

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.

975 x 202 x 803 x 728 = 115133818800

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.

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

202 : 1, 2, 101, 202

803 : 1, 11, 73, 803

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,202,803,728, is 1.

Now, the common factors can be found like this.

975:3x 5x 5x 13

202:2x 101

803:11x 73

728:2x 2x 2x 7x 13

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 115133818800/(1x26)

LCM = 115133818800/26

LCM = 4428223800

Thus, we can understand that the LCM of 975,202,803,728 is 4428223800.

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

• LCM of 503, 788, 354, 560
• LCM of 725, 942, 262, 497
• LCM of 950, 734, 326, 705
• LCM of 836, 157, 947, 840
• LCM of 235, 238, 335, 650

1. What is the LCM of 975, 202, 803, 728?

Answer: LCM of 975, 202, 803, 728 is 4428223800.

2. How to calculate the LCM of 975, 202, 803, 728?

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 975, 202, 803, 728.

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}.