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LCM of 754, 508, 639, 991, 301

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


Find the LCM of 754, 508, 639, 991, 301 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 754, 508, 639, 991, 301. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 754,508,639,991,301

Given numbers are 754,508,639,991,301

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

The LCM of 754,508,639,991,301 is 36504471960684.

Find LCM of 754,508,639,991,301 with Prime Factorization


2 754, 508, 639, 991, 301
377, 254, 639, 991, 301

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

2 x 377 x 254 x 639 x 991 x 301 = 36504471960684

Therefore, the lowest common multiple of 754,508,639,991,301 is 36504471960684.

LCM Formula to Find Lowest Common Multiple of 754,508,639,991,301

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.

754 x 508 x 639 x 991 x 301 = 73008943921368

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.

754 : 1, 2, 13, 26, 29, 58, 377, 754

508 : 1, 2, 4, 127, 254, 508

639 : 1, 3, 9, 71, 213, 639

991 : 1, 991

301 : 1, 7, 43, 301

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,508,639,991,301, is 1.

Now, the common factors can be found like this.

754:2x 13x 29

508:2x 2x 127

639:3x 3x 71

991:991

301:7x 43

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 = 73008943921368/(1x2)

LCM = 73008943921368/2

LCM = 36504471960684

Thus, we can understand that the LCM of 754,508,639,991,301 is 36504471960684.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 754, 508, 639, 991, 301

1. What is the LCM of 754, 508, 639, 991, 301?

Answer: LCM of 754, 508, 639, 991, 301 is 36504471960684.

2. How to calculate the LCM of 754, 508, 639, 991, 301?

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 754, 508, 639, 991, 301.

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}.