Given numbers are 735,725,479,964,953

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

The LCM of 735,725,479,964,953 is 46898698352100.

Find LCM of 735,725,479,964,953 with Prime Factorization

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

5 x 147 x 145 x 479 x 964 x 953 = 46898698352100

Therefore, the lowest common multiple of 735,725,479,964,953 is 46898698352100.

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.

735 x 725 x 479 x 964 x 953 = 234493491760500

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.

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

725 : 1, 5, 25, 29, 145, 725

479 : 1, 479

964 : 1, 2, 4, 241, 482, 964

953 : 1, 953

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,725,479,964,953, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

725:5x 5x 29

479:479

964:2x 2x 241

953:953

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

5 = 5

Therefore, the value for common factors is 5.

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 = 234493491760500/(1x5)

LCM = 234493491760500/5

LCM = 46898698352100

Thus, we can understand that the LCM of 735,725,479,964,953 is 46898698352100.

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

• LCM of 253, 723, 178, 681, 639
• LCM of 533, 992, 398, 591, 924
• LCM of 190, 799, 462, 581, 291
• LCM of 472, 893, 281, 665, 749
• LCM of 530, 243, 209, 687, 126

1. What is the LCM of 735, 725, 479, 964, 953?

Answer: LCM of 735, 725, 479, 964, 953 is 46898698352100.

2. How to calculate the LCM of 735, 725, 479, 964, 953?

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 735, 725, 479, 964, 953.

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}.