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LCM of 620, 974, 451, 473, 781

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


Find the LCM of 620, 974, 451, 473, 781 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 620, 974, 451, 473, 781. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 620,974,451,473,781

Given numbers are 620,974,451,473,781

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

The LCM of 620,974,451,473,781 is 415742091820.

Find LCM of 620,974,451,473,781 with Prime Factorization


2 620, 974, 451, 473, 781
11 310, 487, 451, 473, 781
310, 487, 41, 43, 71

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

2 x 11 x 310 x 487 x 41 x 43 x 71 = 415742091820

Therefore, the lowest common multiple of 620,974,451,473,781 is 415742091820.

LCM Formula to Find Lowest Common Multiple of 620,974,451,473,781

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.

620 x 974 x 451 x 473 x 781 = 100609586220440

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.

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

974 : 1, 2, 487, 974

451 : 1, 11, 41, 451

473 : 1, 11, 43, 473

781 : 1, 11, 71, 781

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,974,451,473,781, is 1.

Now, the common factors can be found like this.

620:2x 2x 5x 31

974:2x 487

451:11x 41

473:11x 43

781:11x 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 11x 11 = 242

Therefore, the value for common factors is 242.

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 = 100609586220440/(1x242)

LCM = 100609586220440/242

LCM = 415742091820

Thus, we can understand that the LCM of 620,974,451,473,781 is 415742091820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 620, 974, 451, 473, 781

1. What is the LCM of 620, 974, 451, 473, 781?

Answer: LCM of 620, 974, 451, 473, 781 is 415742091820.

2. How to calculate the LCM of 620, 974, 451, 473, 781?

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 620, 974, 451, 473, 781.

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}.