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LCM of 658, 987, 874, 888

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


Find the LCM of 658, 987, 874, 888 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 658, 987, 874, 888. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 658,987,874,888

Given numbers are 658,987,874,888

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

The LCM of 658,987,874,888 is 127670424.

Find LCM of 658,987,874,888 with Prime Factorization


2 658, 987, 874, 888
3 329, 987, 437, 444
7 329, 329, 437, 148
47 47, 47, 437, 148
1, 1, 437, 148

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

2 x 3 x 7 x 47 x 1 x 1 x 437 x 148 = 127670424

Therefore, the lowest common multiple of 658,987,874,888 is 127670424.

LCM Formula to Find Lowest Common Multiple of 658,987,874,888

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.

658 x 987 x 874 x 888 = 504042833952

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.

658 : 1, 2, 7, 14, 47, 94, 329, 658

987 : 1, 3, 7, 21, 47, 141, 329, 987

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

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 658,987,874,888, is 1.

Now, the common factors can be found like this.

658:2x 7x 47

987:3x 7x 47

874:2x 19x 23

888:2x 2x 2x 3x 37

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 3x 7x 47 = 3948

Therefore, the value for common factors is 3948.

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 = 504042833952/(1x3948)

LCM = 504042833952/3948

LCM = 127670424

Thus, we can understand that the LCM of 658,987,874,888 is 127670424.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 658, 987, 874, 888

1. What is the LCM of 658, 987, 874, 888?

Answer: LCM of 658, 987, 874, 888 is 127670424.

2. How to calculate the LCM of 658, 987, 874, 888?

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 658, 987, 874, 888.

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}.