Given numbers are 742,921,635,685,758

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

The LCM of 742,921,635,685,758 is 22531859677110.

Find LCM of 742,921,635,685,758 with Prime Factorization

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

2 x 5 x 371 x 921 x 127 x 137 x 379 = 22531859677110

Therefore, the lowest common multiple of 742,921,635,685,758 is 22531859677110.

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.

742 x 921 x 635 x 685 x 758 = 225318596771100

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.

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

921 : 1, 3, 307, 921

635 : 1, 5, 127, 635

685 : 1, 5, 137, 685

758 : 1, 2, 379, 758

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,921,635,685,758, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

921:3x 307

635:5x 127

685:5x 137

758:2x 379

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 225318596771100/(1x10)

LCM = 225318596771100/10

LCM = 22531859677110

Thus, we can understand that the LCM of 742,921,635,685,758 is 22531859677110.

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

• LCM of 148, 857, 314, 231, 853
• LCM of 568, 623, 376, 238, 530
• LCM of 751, 845, 325, 489, 737
• LCM of 711, 354, 807, 346, 889
• LCM of 746, 818, 860, 388, 460

1. What is the LCM of 742, 921, 635, 685, 758?

Answer: LCM of 742, 921, 635, 685, 758 is 22531859677110.

2. How to calculate the LCM of 742, 921, 635, 685, 758?

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 742, 921, 635, 685, 758.

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}.