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LCM of 514, 574, 109, 893, 888

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


Find the LCM of 514, 574, 109, 893, 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 514, 574, 109, 893, 888. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 514,574,109,893,888

Given numbers are 514,574,109,893,888

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

The LCM of 514,574,109,893,888 is 6375378047304.

Find LCM of 514,574,109,893,888 with Prime Factorization


2 514, 574, 109, 893, 888
257, 287, 109, 893, 444

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

2 x 257 x 287 x 109 x 893 x 444 = 6375378047304

Therefore, the lowest common multiple of 514,574,109,893,888 is 6375378047304.

LCM Formula to Find Lowest Common Multiple of 514,574,109,893,888

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.

514 x 574 x 109 x 893 x 888 = 25501512189216

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.

514 : 1, 2, 257, 514

574 : 1, 2, 7, 14, 41, 82, 287, 574

109 : 1, 109

893 : 1, 19, 47, 893

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 514,574,109,893,888, is 1.

Now, the common factors can be found like this.

514:2x 257

574:2x 7x 41

109:109

893:19x 47

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 2 = 4

Therefore, the value for common factors is 4.

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 = 25501512189216/(1x4)

LCM = 25501512189216/4

LCM = 6375378047304

Thus, we can understand that the LCM of 514,574,109,893,888 is 6375378047304.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 514, 574, 109, 893, 888

1. What is the LCM of 514, 574, 109, 893, 888?

Answer: LCM of 514, 574, 109, 893, 888 is 6375378047304.

2. How to calculate the LCM of 514, 574, 109, 893, 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 514, 574, 109, 893, 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}.