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LCM of 953, 838, 735, 466, 313

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


Find the LCM of 953, 838, 735, 466, 313 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 953, 838, 735, 466, 313. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 953,838,735,466,313

Given numbers are 953,838,735,466,313

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

The LCM of 953,838,735,466,313 is 42807958498410.

Find LCM of 953,838,735,466,313 with Prime Factorization


2 953, 838, 735, 466, 313
953, 419, 735, 233, 313

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

2 x 953 x 419 x 735 x 233 x 313 = 42807958498410

Therefore, the lowest common multiple of 953,838,735,466,313 is 42807958498410.

LCM Formula to Find Lowest Common Multiple of 953,838,735,466,313

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.

953 x 838 x 735 x 466 x 313 = 85615916996820

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.

953 : 1, 953

838 : 1, 2, 419, 838

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

466 : 1, 2, 233, 466

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 953,838,735,466,313, is 1.

Now, the common factors can be found like this.

953:953

838:2x 419

735:3x 5x 7x 7

466:2x 233

313:313

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

2 = 2

Therefore, the value for common factors is 2.

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 = 85615916996820/(1x2)

LCM = 85615916996820/2

LCM = 42807958498410

Thus, we can understand that the LCM of 953,838,735,466,313 is 42807958498410.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 953, 838, 735, 466, 313

1. What is the LCM of 953, 838, 735, 466, 313?

Answer: LCM of 953, 838, 735, 466, 313 is 42807958498410.

2. How to calculate the LCM of 953, 838, 735, 466, 313?

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 953, 838, 735, 466, 313.

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}.