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LCM of 705, 892, 835, 254, 358

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


Find the LCM of 705, 892, 835, 254, 358 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 705, 892, 835, 254, 358. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 705,892,835,254,358

Given numbers are 705,892,835,254,358

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

The LCM of 705,892,835,254,358 is 2387411021460.

Find LCM of 705,892,835,254,358 with Prime Factorization


2 705, 892, 835, 254, 358
5 705, 446, 835, 127, 179
141, 446, 167, 127, 179

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

2 x 5 x 141 x 446 x 167 x 127 x 179 = 2387411021460

Therefore, the lowest common multiple of 705,892,835,254,358 is 2387411021460.

LCM Formula to Find Lowest Common Multiple of 705,892,835,254,358

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.

705 x 892 x 835 x 254 x 358 = 47748220429200

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

892 : 1, 2, 4, 223, 446, 892

835 : 1, 5, 167, 835

254 : 1, 2, 127, 254

358 : 1, 2, 179, 358

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,892,835,254,358, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

892:2x 2x 223

835:5x 167

254:2x 127

358:2x 179

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 5 = 20

Therefore, the value for common factors is 20.

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 = 47748220429200/(1x20)

LCM = 47748220429200/20

LCM = 2387411021460

Thus, we can understand that the LCM of 705,892,835,254,358 is 2387411021460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 705, 892, 835, 254, 358

1. What is the LCM of 705, 892, 835, 254, 358?

Answer: LCM of 705, 892, 835, 254, 358 is 2387411021460.

2. How to calculate the LCM of 705, 892, 835, 254, 358?

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 705, 892, 835, 254, 358.

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}.