Given numbers are 824,524,129,986,214

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

The LCM of 824,524,129,986,214 is 734545858776.

Find LCM of 824,524,129,986,214 with Prime Factorization

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

2 x 2 x 206 x 131 x 129 x 493 x 107 = 734545858776

Therefore, the lowest common multiple of 824,524,129,986,214 is 734545858776.

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.

824 x 524 x 129 x 986 x 214 = 11752733740416

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.

824 : 1, 2, 4, 8, 103, 206, 412, 824

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

129 : 1, 3, 43, 129

986 : 1, 2, 17, 29, 34, 58, 493, 986

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,524,129,986,214, is 1.

Now, the common factors can be found like this.

824:2x 2x 2x 103

524:2x 2x 131

129:3x 43

986:2x 17x 29

214:2x 107

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 2 = 16

Therefore, the value for common factors is 16.

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 = 11752733740416/(1x16)

LCM = 11752733740416/16

LCM = 734545858776

Thus, we can understand that the LCM of 824,524,129,986,214 is 734545858776.

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

• LCM of 382, 357, 450, 901, 141
• LCM of 866, 615, 486, 991, 929
• LCM of 695, 867, 916, 811, 879
• LCM of 375, 972, 200, 349, 182
• LCM of 537, 554, 109, 100, 744

1. What is the LCM of 824, 524, 129, 986, 214?

Answer: LCM of 824, 524, 129, 986, 214 is 734545858776.

2. How to calculate the LCM of 824, 524, 129, 986, 214?

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 824, 524, 129, 986, 214.

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}.