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LCM of 347, 512, 614, 128, 524

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


Find the LCM of 347, 512, 614, 128, 524 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 347, 512, 614, 128, 524. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 347,512,614,128,524

Given numbers are 347,512,614,128,524

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

The LCM of 347,512,614,128,524 is 7145113088.

Find LCM of 347,512,614,128,524 with Prime Factorization


2 347, 512, 614, 128, 524
2 347, 256, 307, 64, 262
2 347, 128, 307, 32, 131
2 347, 64, 307, 16, 131
2 347, 32, 307, 8, 131
2 347, 16, 307, 4, 131
2 347, 8, 307, 2, 131
347, 4, 307, 1, 131

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

2 x 2 x 2 x 2 x 2 x 2 x 2 x 347 x 4 x 307 x 1 x 131 = 7145113088

Therefore, the lowest common multiple of 347,512,614,128,524 is 7145113088.

LCM Formula to Find Lowest Common Multiple of 347,512,614,128,524

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.

347 x 512 x 614 x 128 x 524 = 7316595802112

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.

347 : 1, 347

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

614 : 1, 2, 307, 614

128 : 1, 2, 4, 8, 16, 32, 64, 128

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,512,614,128,524, is 1.

Now, the common factors can be found like this.

347:347

512:2x 2x 2x 2x 2x 2x 2x 2x 2

614:2x 307

128:2x 2x 2x 2x 2x 2x 2

524:2x 2x 131

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 2x 2x 2x 2x 2x 2x 2 = 1024

Therefore, the value for common factors is 1024.

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 = 7316595802112/(1x1024)

LCM = 7316595802112/1024

LCM = 7145113088

Thus, we can understand that the LCM of 347,512,614,128,524 is 7145113088.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 347, 512, 614, 128, 524

1. What is the LCM of 347, 512, 614, 128, 524?

Answer: LCM of 347, 512, 614, 128, 524 is 7145113088.

2. How to calculate the LCM of 347, 512, 614, 128, 524?

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 347, 512, 614, 128, 524.

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}.