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LCM of 623, 105, 953, 953

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 623, 105, 953, 953 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 623, 105, 953, 953. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 623,105,953,953

Given numbers are 623,105,953,953

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

The LCM of 623,105,953,953 is 8905785.

Find LCM of 623,105,953,953 with Prime Factorization


7 623, 105, 953, 953
953 89, 15, 953, 953
89, 15, 1, 1

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

7 x 953 x 89 x 15 x 1 x 1 = 8905785

Therefore, the lowest common multiple of 623,105,953,953 is 8905785.

LCM Formula to Find Lowest Common Multiple of 623,105,953,953

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.

623 x 105 x 953 x 953 = 59410491735

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.

623 : 1, 7, 89, 623

105 : 1, 3, 5, 7, 15, 21, 35, 105

953 : 1, 953

953 : 1, 953

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 623,105,953,953, is 1.

Now, the common factors can be found like this.

623:7x 89

105:3x 5x 7

953:953

953:953

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

7x 953 = 6671

Therefore, the value for common factors is 6671.

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 = 59410491735/(1x6671)

LCM = 59410491735/6671

LCM = 8905785

Thus, we can understand that the LCM of 623,105,953,953 is 8905785.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 623, 105, 953, 953

1. What is the LCM of 623, 105, 953, 953?

Answer: LCM of 623, 105, 953, 953 is 8905785.

2. How to calculate the LCM of 623, 105, 953, 953?

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 623, 105, 953, 953.

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}.