Given numbers are 975,199,122,936,497

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

The LCM of 975,199,122,936,497 is 141174142200.

Find LCM of 975,199,122,936,497 with Prime Factorization

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

2 x 3 x 13 x 25 x 199 x 61 x 12 x 497 = 141174142200

Therefore, the lowest common multiple of 975,199,122,936,497 is 141174142200.

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.

975 x 199 x 122 x 936 x 497 = 11011583091600

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.

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

199 : 1, 199

122 : 1, 2, 61, 122

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,199,122,936,497, is 1.

Now, the common factors can be found like this.

975:3x 5x 5x 13

199:199

122:2x 61

936:2x 2x 2x 3x 3x 13

497:7x 71

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

2x 3x 13 = 78

Therefore, the value for common factors is 78.

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 = 11011583091600/(1x78)

LCM = 11011583091600/78

LCM = 141174142200

Thus, we can understand that the LCM of 975,199,122,936,497 is 141174142200.

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

• LCM of 636, 529, 494, 889, 155
• LCM of 171, 998, 522, 988, 628
• LCM of 784, 303, 744, 529, 175
• LCM of 892, 976, 476, 241, 359
• LCM of 529, 939, 684, 381, 832

1. What is the LCM of 975, 199, 122, 936, 497?

Answer: LCM of 975, 199, 122, 936, 497 is 141174142200.

2. How to calculate the LCM of 975, 199, 122, 936, 497?

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 975, 199, 122, 936, 497.

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}.