Given numbers are 97,76,91,31,845

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

The LCM of 97,76,91,31,845 is 1351766780.

Find LCM of 97,76,91,31,845 with Prime Factorization

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

13 x 97 x 76 x 7 x 31 x 65 = 1351766780

Therefore, the lowest common multiple of 97,76,91,31,845 is 1351766780.

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.

97 x 76 x 91 x 31 x 845 = 17572968140

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.

97 : 1, 97

76 : 1, 2, 4, 19, 38, 76

91 : 1, 7, 13, 91

31 : 1, 31

845 : 1, 5, 13, 65, 169, 845

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 97,76,91,31,845, is 1.

Now, the common factors can be found like this.

97:97

76:2x 2x 19

91:7x 13

31:31

845:5x 13x 13

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

13 = 13

Therefore, the value for common factors is 13.

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 = 17572968140/(1x13)

LCM = 17572968140/13

LCM = 1351766780

Thus, we can understand that the LCM of 97,76,91,31,845 is 1351766780.

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

• LCM of 62, 14, 22, 35, 648
• LCM of 33, 91, 77, 19, 580
• LCM of 22, 38, 20, 84, 434
• LCM of 88, 15, 10, 67, 405
• LCM of 41, 90, 21, 99, 281

1. What is the LCM of 97, 76, 91, 31, 845?

Answer: LCM of 97, 76, 91, 31, 845 is 1351766780.

2. How to calculate the LCM of 97, 76, 91, 31, 845?

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 97, 76, 91, 31, 845.

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}.