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LCM of 478, 293, 159, 192, 702

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


Find the LCM of 478, 293, 159, 192, 702 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 478, 293, 159, 192, 702. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 478,293,159,192,702

Given numbers are 478,293,159,192,702

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

The LCM of 478,293,159,192,702 is 83373585984.

Find LCM of 478,293,159,192,702 with Prime Factorization


2 478, 293, 159, 192, 702
3 239, 293, 159, 96, 351
239, 293, 53, 32, 117

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

2 x 3 x 239 x 293 x 53 x 32 x 117 = 83373585984

Therefore, the lowest common multiple of 478,293,159,192,702 is 83373585984.

LCM Formula to Find Lowest Common Multiple of 478,293,159,192,702

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.

478 x 293 x 159 x 192 x 702 = 3001449095424

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.

478 : 1, 2, 239, 478

293 : 1, 293

159 : 1, 3, 53, 159

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,293,159,192,702, is 1.

Now, the common factors can be found like this.

478:2x 239

293:293

159:3x 53

192:2x 2x 2x 2x 2x 2x 3

702:2x 3x 3x 3x 13

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 3 = 36

Therefore, the value for common factors is 36.

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 = 3001449095424/(1x36)

LCM = 3001449095424/36

LCM = 83373585984

Thus, we can understand that the LCM of 478,293,159,192,702 is 83373585984.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 478, 293, 159, 192, 702

1. What is the LCM of 478, 293, 159, 192, 702?

Answer: LCM of 478, 293, 159, 192, 702 is 83373585984.

2. How to calculate the LCM of 478, 293, 159, 192, 702?

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 478, 293, 159, 192, 702.

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}.