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LCM of 635, 635, 879, 961, 946

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


Find the LCM of 635, 635, 879, 961, 946 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 635, 635, 879, 961, 946. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 635,635,879,961,946

Given numbers are 635,635,879,961,946

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

The LCM of 635,635,879,961,946 is 507431150490.

Find LCM of 635,635,879,961,946 with Prime Factorization


5 635, 635, 879, 961, 946
127 127, 127, 879, 961, 946
1, 1, 879, 961, 946

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

5 x 127 x 1 x 1 x 879 x 961 x 946 = 507431150490

Therefore, the lowest common multiple of 635,635,879,961,946 is 507431150490.

LCM Formula to Find Lowest Common Multiple of 635,635,879,961,946

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.

635 x 635 x 879 x 961 x 946 = 322218780561150

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.

635 : 1, 5, 127, 635

635 : 1, 5, 127, 635

879 : 1, 3, 293, 879

961 : 1, 31, 961

946 : 1, 2, 11, 22, 43, 86, 473, 946

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,635,879,961,946, is 1.

Now, the common factors can be found like this.

635:5x 127

635:5x 127

879:3x 293

961:31x 31

946:2x 11x 43

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

5x 127 = 635

Therefore, the value for common factors is 635.

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 = 322218780561150/(1x635)

LCM = 322218780561150/635

LCM = 507431150490

Thus, we can understand that the LCM of 635,635,879,961,946 is 507431150490.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 635, 635, 879, 961, 946

1. What is the LCM of 635, 635, 879, 961, 946?

Answer: LCM of 635, 635, 879, 961, 946 is 507431150490.

2. How to calculate the LCM of 635, 635, 879, 961, 946?

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 635, 635, 879, 961, 946.

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}.