Given numbers are 740,824,658,272,828

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

The LCM of 740,824,658,272,828 is 352975124880.

Find LCM of 740,824,658,272,828 with Prime Factorization

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

2 x 2 x 2 x 185 x 103 x 329 x 34 x 207 = 352975124880

Therefore, the lowest common multiple of 740,824,658,272,828 is 352975124880.

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.

740 x 824 x 658 x 272 x 828 = 90361631969280

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.

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

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

658 : 1, 2, 7, 14, 47, 94, 329, 658

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,824,658,272,828, is 2.

Now, the common factors can be found like this.

740:2x 2x 5x 37

824:2x 2x 2x 103

658:2x 7x 47

272:2x 2x 2x 2x 17

828:2x 2x 3x 3x 23

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 2x 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 90361631969280/(2x128)

LCM = 90361631969280/256

LCM = 352975124880

Thus, we can understand that the LCM of 740,824,658,272,828 is 352975124880.

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

• LCM of 469, 762, 766, 317, 397
• LCM of 232, 286, 603, 126, 440
• LCM of 194, 474, 750, 874, 827
• LCM of 341, 512, 587, 311, 114
• LCM of 928, 978, 224, 252, 665

1. What is the LCM of 740, 824, 658, 272, 828?

Answer: LCM of 740, 824, 658, 272, 828 is 352975124880.

2. How to calculate the LCM of 740, 824, 658, 272, 828?

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 740, 824, 658, 272, 828.

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}.