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LCM of 451, 470, 910, 942

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


Find the LCM of 451, 470, 910, 942 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 451, 470, 910, 942. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 451,470,910,942

Given numbers are 451,470,910,942

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

The LCM of 451,470,910,942 is 9085246170.

Find LCM of 451,470,910,942 with Prime Factorization


2 451, 470, 910, 942
5 451, 235, 455, 471
451, 47, 91, 471

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

2 x 5 x 451 x 47 x 91 x 471 = 9085246170

Therefore, the lowest common multiple of 451,470,910,942 is 9085246170.

LCM Formula to Find Lowest Common Multiple of 451,470,910,942

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.

451 x 470 x 910 x 942 = 181704923400

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.

451 : 1, 11, 41, 451

470 : 1, 2, 5, 10, 47, 94, 235, 470

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

942 : 1, 2, 3, 6, 157, 314, 471, 942

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 451,470,910,942, is 1.

Now, the common factors can be found like this.

451:11x 41

470:2x 5x 47

910:2x 5x 7x 13

942:2x 3x 157

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 = 181704923400/(1x20)

LCM = 181704923400/20

LCM = 9085246170

Thus, we can understand that the LCM of 451,470,910,942 is 9085246170.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 451, 470, 910, 942

1. What is the LCM of 451, 470, 910, 942?

Answer: LCM of 451, 470, 910, 942 is 9085246170.

2. How to calculate the LCM of 451, 470, 910, 942?

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 451, 470, 910, 942.

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}.