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LCM of 710, 901, 355, 169

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


Find the LCM of 710, 901, 355, 169 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 710, 901, 355, 169. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 710,901,355,169

Given numbers are 710,901,355,169

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

The LCM of 710,901,355,169 is 108110990.

Find LCM of 710,901,355,169 with Prime Factorization


5 710, 901, 355, 169
71 142, 901, 71, 169
2, 901, 1, 169

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

5 x 71 x 2 x 901 x 1 x 169 = 108110990

Therefore, the lowest common multiple of 710,901,355,169 is 108110990.

LCM Formula to Find Lowest Common Multiple of 710,901,355,169

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.

710 x 901 x 355 x 169 = 38379401450

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.

710 : 1, 2, 5, 10, 71, 142, 355, 710

901 : 1, 17, 53, 901

355 : 1, 5, 71, 355

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 710,901,355,169, is 1.

Now, the common factors can be found like this.

710:2x 5x 71

901:17x 53

355:5x 71

169:13x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5x 71 = 355

Therefore, the value for common factors is 355.

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 = 38379401450/(1x355)

LCM = 38379401450/355

LCM = 108110990

Thus, we can understand that the LCM of 710,901,355,169 is 108110990.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 710, 901, 355, 169

1. What is the LCM of 710, 901, 355, 169?

Answer: LCM of 710, 901, 355, 169 is 108110990.

2. How to calculate the LCM of 710, 901, 355, 169?

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 710, 901, 355, 169.

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}.