Given numbers are 516,524,194,161,400

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

The LCM of 516,524,194,161,400 is 105564673200.

Find LCM of 516,524,194,161,400 with Prime Factorization

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

2 x 2 x 129 x 131 x 97 x 161 x 100 = 105564673200

Therefore, the lowest common multiple of 516,524,194,161,400 is 105564673200.

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.

516 x 524 x 194 x 161 x 400 = 3378069542400

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.

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

524 : 1, 2, 4, 131, 262, 524

194 : 1, 2, 97, 194

161 : 1, 7, 23, 161

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,524,194,161,400, is 1.

Now, the common factors can be found like this.

516:2x 2x 3x 43

524:2x 2x 131

194:2x 97

161:7x 23

400:2x 2x 2x 2x 5x 5

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

2x 2x 2x 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 3378069542400/(1x32)

LCM = 3378069542400/32

LCM = 105564673200

Thus, we can understand that the LCM of 516,524,194,161,400 is 105564673200.

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

• LCM of 261, 956, 831, 347, 835
• LCM of 617, 181, 969, 293, 364
• LCM of 303, 243, 612, 848, 425
• LCM of 935, 166, 550, 318, 261
• LCM of 271, 802, 637, 480, 191

1. What is the LCM of 516, 524, 194, 161, 400?

Answer: LCM of 516, 524, 194, 161, 400 is 105564673200.

2. How to calculate the LCM of 516, 524, 194, 161, 400?

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 516, 524, 194, 161, 400.

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}.