Given numbers are 690,507,198,772,987

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

The LCM of 690,507,198,772,987 is 488689421220.

Find LCM of 690,507,198,772,987 with Prime Factorization

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

2 x 3 x 115 x 169 x 33 x 386 x 329 = 488689421220

Therefore, the lowest common multiple of 690,507,198,772,987 is 488689421220.

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.

690 x 507 x 198 x 772 x 987 = 52778457491760

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.

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

507 : 1, 3, 13, 39, 169, 507

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

772 : 1, 2, 4, 193, 386, 772

987 : 1, 3, 7, 21, 47, 141, 329, 987

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,507,198,772,987, is 1.

Now, the common factors can be found like this.

690:2x 3x 5x 23

507:3x 13x 13

198:2x 3x 3x 11

772:2x 2x 193

987:3x 7x 47

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 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 52778457491760/(1x108)

LCM = 52778457491760/108

LCM = 488689421220

Thus, we can understand that the LCM of 690,507,198,772,987 is 488689421220.

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

• LCM of 995, 612, 859, 435, 639
• LCM of 579, 672, 735, 244, 788
• LCM of 271, 735, 528, 574, 356
• LCM of 930, 265, 753, 584, 980
• LCM of 894, 196, 373, 674, 790

1. What is the LCM of 690, 507, 198, 772, 987?

Answer: LCM of 690, 507, 198, 772, 987 is 488689421220.

2. How to calculate the LCM of 690, 507, 198, 772, 987?

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 690, 507, 198, 772, 987.

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}.