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LCM of 514, 228, 349, 456

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


Find the LCM of 514, 228, 349, 456 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, 228, 349, 456. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 514,228,349,456

Given numbers are 514,228,349,456

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

The LCM of 514,228,349,456 is 40900008.

Find LCM of 514,228,349,456 with Prime Factorization


2 514, 228, 349, 456
2 257, 114, 349, 228
3 257, 57, 349, 114
19 257, 19, 349, 38
257, 1, 349, 2

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

2 x 2 x 3 x 19 x 257 x 1 x 349 x 2 = 40900008

Therefore, the lowest common multiple of 514,228,349,456 is 40900008.

LCM Formula to Find Lowest Common Multiple of 514,228,349,456

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 228 x 349 x 456 = 18650403648

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

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

349 : 1, 349

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,228,349,456, is 1.

Now, the common factors can be found like this.

514:2x 257

228:2x 2x 3x 19

349:349

456:2x 2x 2x 3x 19

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 2x 3x 19 = 456

Therefore, the value for common factors is 456.

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 = 18650403648/(1x456)

LCM = 18650403648/456

LCM = 40900008

Thus, we can understand that the LCM of 514,228,349,456 is 40900008.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 514, 228, 349, 456

1. What is the LCM of 514, 228, 349, 456?

Answer: LCM of 514, 228, 349, 456 is 40900008.

2. How to calculate the LCM of 514, 228, 349, 456?

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, 228, 349, 456.

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}.