Given numbers are 691,193,770,682,748

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

The LCM of 691,193,770,682,748 is 108234743540.

Find LCM of 691,193,770,682,748 with Prime Factorization

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

2 x 11 x 691 x 193 x 35 x 31 x 34 = 108234743540

Therefore, the lowest common multiple of 691,193,770,682,748 is 108234743540.

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.

691 x 193 x 770 x 682 x 748 = 52385615873360

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.

691 : 1, 691

193 : 1, 193

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

682 : 1, 2, 11, 22, 31, 62, 341, 682

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 691,193,770,682,748, is 1.

Now, the common factors can be found like this.

691:691

193:193

770:2x 5x 7x 11

682:2x 11x 31

748:2x 2x 11x 17

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 11x 11 = 484

Therefore, the value for common factors is 484.

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 = 52385615873360/(1x484)

LCM = 52385615873360/484

LCM = 108234743540

Thus, we can understand that the LCM of 691,193,770,682,748 is 108234743540.

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

• LCM of 857, 568, 931, 283, 518
• LCM of 112, 727, 572, 552, 536
• LCM of 538, 556, 544, 436, 382
• LCM of 904, 949, 414, 495, 761
• LCM of 500, 126, 731, 330, 671

1. What is the LCM of 691, 193, 770, 682, 748?

Answer: LCM of 691, 193, 770, 682, 748 is 108234743540.

2. How to calculate the LCM of 691, 193, 770, 682, 748?

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 691, 193, 770, 682, 748.

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}.