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LCM of 629, 524, 941, 888

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


Find the LCM of 629, 524, 941, 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 629, 524, 941, 888. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 629,524,941,888

Given numbers are 629,524,941,888

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

The LCM of 629,524,941,888 is 1860899016.

Find LCM of 629,524,941,888 with Prime Factorization


2 629, 524, 941, 888
2 629, 262, 941, 444
37 629, 131, 941, 222
17, 131, 941, 6

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

2 x 2 x 37 x 17 x 131 x 941 x 6 = 1860899016

Therefore, the lowest common multiple of 629,524,941,888 is 1860899016.

LCM Formula to Find Lowest Common Multiple of 629,524,941,888

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.

629 x 524 x 941 x 888 = 275413054368

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.

629 : 1, 17, 37, 629

524 : 1, 2, 4, 131, 262, 524

941 : 1, 941

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 629,524,941,888, is 1.

Now, the common factors can be found like this.

629:17x 37

524:2x 2x 131

941:941

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 37 = 148

Therefore, the value for common factors is 148.

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 = 275413054368/(1x148)

LCM = 275413054368/148

LCM = 1860899016

Thus, we can understand that the LCM of 629,524,941,888 is 1860899016.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 629, 524, 941, 888

1. What is the LCM of 629, 524, 941, 888?

Answer: LCM of 629, 524, 941, 888 is 1860899016.

2. How to calculate the LCM of 629, 524, 941, 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 629, 524, 941, 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}.