Given numbers are 902,224,950,316,497

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

The LCM of 902,224,950,316,497 is 269155717600.

Find LCM of 902,224,950,316,497 with Prime Factorization

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

2 x 2 x 7 x 451 x 8 x 475 x 79 x 71 = 269155717600

Therefore, the lowest common multiple of 902,224,950,316,497 is 269155717600.

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.

902 x 224 x 950 x 316 x 497 = 30145440371200

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

316 : 1, 2, 4, 79, 158, 316

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,224,950,316,497, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

224:2x 2x 2x 2x 2x 7

950:2x 5x 5x 19

316:2x 2x 79

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 2x 2x 2x 7 = 112

Therefore, the value for common factors is 112.

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 = 30145440371200/(1x112)

LCM = 30145440371200/112

LCM = 269155717600

Thus, we can understand that the LCM of 902,224,950,316,497 is 269155717600.

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

• LCM of 366, 169, 983, 313, 169
• LCM of 804, 701, 759, 998, 675
• LCM of 263, 311, 482, 472, 193
• LCM of 301, 367, 745, 660, 805
• LCM of 932, 930, 211, 547, 786

1. What is the LCM of 902, 224, 950, 316, 497?

Answer: LCM of 902, 224, 950, 316, 497 is 269155717600.

2. How to calculate the LCM of 902, 224, 950, 316, 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 902, 224, 950, 316, 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}.