Given numbers are 824,540,830,742,674

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

The LCM of 824,540,830,742,674 is 1154364288840.

Find LCM of 824,540,830,742,674 with Prime Factorization

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

2 x 2 x 5 x 206 x 27 x 83 x 371 x 337 = 1154364288840

Therefore, the lowest common multiple of 824,540,830,742,674 is 1154364288840.

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 540 x 830 x 742 x 674 = 184698286214400

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

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

830 : 1, 2, 5, 10, 83, 166, 415, 830

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

674 : 1, 2, 337, 674

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,540,830,742,674, is 2.

Now, the common factors can be found like this.

824:2x 2x 2x 103

540:2x 2x 3x 3x 3x 5

830:2x 5x 83

742:2x 7x 53

674:2x 337

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 5 = 80

Therefore, the value for common factors is 80.

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 = 184698286214400/(2x80)

LCM = 184698286214400/160

LCM = 1154364288840

Thus, we can understand that the LCM of 824,540,830,742,674 is 1154364288840.

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

• LCM of 685, 945, 524, 766, 722
• LCM of 653, 193, 809, 593, 682
• LCM of 454, 734, 326, 968, 964
• LCM of 373, 710, 238, 213, 393
• LCM of 605, 757, 842, 766, 148

1. What is the LCM of 824, 540, 830, 742, 674?

Answer: LCM of 824, 540, 830, 742, 674 is 1154364288840.

2. How to calculate the LCM of 824, 540, 830, 742, 674?

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, 540, 830, 742, 674.

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}.