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LCM of 709, 150, 346, 102, 839

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


Find the LCM of 709, 150, 346, 102, 839 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 709, 150, 346, 102, 839. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 709,150,346,102,839

Given numbers are 709,150,346,102,839

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

The LCM of 709,150,346,102,839 is 262418518650.

Find LCM of 709,150,346,102,839 with Prime Factorization


2 709, 150, 346, 102, 839
3 709, 75, 173, 51, 839
709, 25, 173, 17, 839

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

2 x 3 x 709 x 25 x 173 x 17 x 839 = 262418518650

Therefore, the lowest common multiple of 709,150,346,102,839 is 262418518650.

LCM Formula to Find Lowest Common Multiple of 709,150,346,102,839

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.

709 x 150 x 346 x 102 x 839 = 3149022223800

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.

709 : 1, 709

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

346 : 1, 2, 173, 346

102 : 1, 2, 3, 6, 17, 34, 51, 102

839 : 1, 839

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,150,346,102,839, is 1.

Now, the common factors can be found like this.

709:709

150:2x 3x 5x 5

346:2x 173

102:2x 3x 17

839:839

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 3 = 12

Therefore, the value for common factors is 12.

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 = 3149022223800/(1x12)

LCM = 3149022223800/12

LCM = 262418518650

Thus, we can understand that the LCM of 709,150,346,102,839 is 262418518650.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 709, 150, 346, 102, 839

1. What is the LCM of 709, 150, 346, 102, 839?

Answer: LCM of 709, 150, 346, 102, 839 is 262418518650.

2. How to calculate the LCM of 709, 150, 346, 102, 839?

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 709, 150, 346, 102, 839.

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}.