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LCM of 157, 207, 874, 460

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


Find the LCM of 157, 207, 874, 460 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 157, 207, 874, 460. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 157,207,874,460

Given numbers are 157,207,874,460

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

The LCM of 157,207,874,460 is 12349620.

Find LCM of 157,207,874,460 with Prime Factorization


2 157, 207, 874, 460
23 157, 207, 437, 230
157, 9, 19, 10

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

2 x 23 x 157 x 9 x 19 x 10 = 12349620

Therefore, the lowest common multiple of 157,207,874,460 is 12349620.

LCM Formula to Find Lowest Common Multiple of 157,207,874,460

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.

157 x 207 x 874 x 460 = 13065897960

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.

157 : 1, 157

207 : 1, 3, 9, 23, 69, 207

874 : 1, 2, 19, 23, 38, 46, 437, 874

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,207,874,460, is 1.

Now, the common factors can be found like this.

157:157

207:3x 3x 23

874:2x 19x 23

460:2x 2x 5x 23

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

2x 23x 23 = 1058

Therefore, the value for common factors is 1058.

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 = 13065897960/(1x1058)

LCM = 13065897960/1058

LCM = 12349620

Thus, we can understand that the LCM of 157,207,874,460 is 12349620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 157, 207, 874, 460

1. What is the LCM of 157, 207, 874, 460?

Answer: LCM of 157, 207, 874, 460 is 12349620.

2. How to calculate the LCM of 157, 207, 874, 460?

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 157, 207, 874, 460.

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}.