Given numbers are 691,506,117,348,750

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

The LCM of 691,506,117,348,750 is 296587219500.

Find LCM of 691,506,117,348,750 with Prime Factorization

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

2 x 3 x 691 x 253 x 39 x 58 x 125 = 296587219500

Therefore, the lowest common multiple of 691,506,117,348,750 is 296587219500.

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 506 x 117 x 348 x 750 = 10677139902000

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

117 : 1, 3, 9, 13, 39, 117

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 691,506,117,348,750, is 1.

Now, the common factors can be found like this.

691:691

506:2x 11x 23

117:3x 3x 13

348:2x 2x 3x 29

750:2x 3x 5x 5x 5

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 10677139902000/(1x36)

LCM = 10677139902000/36

LCM = 296587219500

Thus, we can understand that the LCM of 691,506,117,348,750 is 296587219500.

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

• LCM of 994, 219, 781, 239, 951
• LCM of 279, 232, 158, 907, 882
• LCM of 812, 578, 406, 505, 524
• LCM of 874, 521, 748, 222, 167
• LCM of 442, 916, 617, 825, 462

1. What is the LCM of 691, 506, 117, 348, 750?

Answer: LCM of 691, 506, 117, 348, 750 is 296587219500.

2. How to calculate the LCM of 691, 506, 117, 348, 750?

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, 506, 117, 348, 750.

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}.