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LCM of 352, 109, 712, 902

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


Find the LCM of 352, 109, 712, 902 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 352, 109, 712, 902. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 352,109,712,902

Given numbers are 352,109,712,902

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

The LCM of 352,109,712,902 is 140004832.

Find LCM of 352,109,712,902 with Prime Factorization


2 352, 109, 712, 902
2 176, 109, 356, 451
2 88, 109, 178, 451
11 44, 109, 89, 451
4, 109, 89, 41

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

2 x 2 x 2 x 11 x 4 x 109 x 89 x 41 = 140004832

Therefore, the lowest common multiple of 352,109,712,902 is 140004832.

LCM Formula to Find Lowest Common Multiple of 352,109,712,902

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.

352 x 109 x 712 x 902 = 24640850432

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.

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

109 : 1, 109

712 : 1, 2, 4, 8, 89, 178, 356, 712

902 : 1, 2, 11, 22, 41, 82, 451, 902

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,109,712,902, is 1.

Now, the common factors can be found like this.

352:2x 2x 2x 2x 2x 11

109:109

712:2x 2x 2x 89

902:2x 11x 41

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 11 = 176

Therefore, the value for common factors is 176.

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 = 24640850432/(1x176)

LCM = 24640850432/176

LCM = 140004832

Thus, we can understand that the LCM of 352,109,712,902 is 140004832.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 352, 109, 712, 902

1. What is the LCM of 352, 109, 712, 902?

Answer: LCM of 352, 109, 712, 902 is 140004832.

2. How to calculate the LCM of 352, 109, 712, 902?

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 352, 109, 712, 902.

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}.