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LCM of 851, 526, 905, 206, 346

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


Find the LCM of 851, 526, 905, 206, 346 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 851, 526, 905, 206, 346. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 851,526,905,206,346

Given numbers are 851,526,905,206,346

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

The LCM of 851,526,905,206,346 is 7218504163070.

Find LCM of 851,526,905,206,346 with Prime Factorization


2 851, 526, 905, 206, 346
851, 263, 905, 103, 173

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

2 x 851 x 263 x 905 x 103 x 173 = 7218504163070

Therefore, the lowest common multiple of 851,526,905,206,346 is 7218504163070.

LCM Formula to Find Lowest Common Multiple of 851,526,905,206,346

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.

851 x 526 x 905 x 206 x 346 = 28874016652280

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.

851 : 1, 23, 37, 851

526 : 1, 2, 263, 526

905 : 1, 5, 181, 905

206 : 1, 2, 103, 206

346 : 1, 2, 173, 346

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,526,905,206,346, is 1.

Now, the common factors can be found like this.

851:23x 37

526:2x 263

905:5x 181

206:2x 103

346:2x 173

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 28874016652280/(1x4)

LCM = 28874016652280/4

LCM = 7218504163070

Thus, we can understand that the LCM of 851,526,905,206,346 is 7218504163070.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 851, 526, 905, 206, 346

1. What is the LCM of 851, 526, 905, 206, 346?

Answer: LCM of 851, 526, 905, 206, 346 is 7218504163070.

2. How to calculate the LCM of 851, 526, 905, 206, 346?

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 851, 526, 905, 206, 346.

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}.