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LCM of 902, 415, 634, 845, 746

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


Find the LCM of 902, 415, 634, 845, 746 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 902, 415, 634, 845, 746. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 902,415,634,845,746

Given numbers are 902,415,634,845,746

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

The LCM of 902,415,634,845,746 is 7480134946570.

Find LCM of 902,415,634,845,746 with Prime Factorization


2 902, 415, 634, 845, 746
5 451, 415, 317, 845, 373
451, 83, 317, 169, 373

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

2 x 5 x 451 x 83 x 317 x 169 x 373 = 7480134946570

Therefore, the lowest common multiple of 902,415,634,845,746 is 7480134946570.

LCM Formula to Find Lowest Common Multiple of 902,415,634,845,746

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.

902 x 415 x 634 x 845 x 746 = 149602698931400

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

415 : 1, 5, 83, 415

634 : 1, 2, 317, 634

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

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,415,634,845,746, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

415:5x 83

634:2x 317

845:5x 13x 13

746:2x 373

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

2x 2x 5 = 20

Therefore, the value for common factors is 20.

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 = 149602698931400/(1x20)

LCM = 149602698931400/20

LCM = 7480134946570

Thus, we can understand that the LCM of 902,415,634,845,746 is 7480134946570.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 902, 415, 634, 845, 746

1. What is the LCM of 902, 415, 634, 845, 746?

Answer: LCM of 902, 415, 634, 845, 746 is 7480134946570.

2. How to calculate the LCM of 902, 415, 634, 845, 746?

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 902, 415, 634, 845, 746.

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}.