Given numbers are 705,461,746,844,524

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

The LCM of 705,461,746,844,524 is 13403327101860.

Find LCM of 705,461,746,844,524 with Prime Factorization

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

2 x 2 x 705 x 461 x 373 x 211 x 131 = 13403327101860

Therefore, the lowest common multiple of 705,461,746,844,524 is 13403327101860.

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.

705 x 461 x 746 x 844 x 524 = 107226616814880

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

461 : 1, 461

746 : 1, 2, 373, 746

844 : 1, 2, 4, 211, 422, 844

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,461,746,844,524, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

461:461

746:2x 373

844:2x 2x 211

524:2x 2x 131

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 2 = 8

Therefore, the value for common factors is 8.

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 = 107226616814880/(1x8)

LCM = 107226616814880/8

LCM = 13403327101860

Thus, we can understand that the LCM of 705,461,746,844,524 is 13403327101860.

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

• LCM of 310, 597, 997, 551, 200
• LCM of 353, 462, 709, 530, 745
• LCM of 194, 393, 904, 705, 871
• LCM of 560, 947, 845, 684, 152
• LCM of 486, 652, 969, 533, 965

1. What is the LCM of 705, 461, 746, 844, 524?

Answer: LCM of 705, 461, 746, 844, 524 is 13403327101860.

2. How to calculate the LCM of 705, 461, 746, 844, 524?

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 705, 461, 746, 844, 524.

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}.