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LCM of 817, 334, 210, 894

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


Find the LCM of 817, 334, 210, 894 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 817, 334, 210, 894. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 817,334,210,894

Given numbers are 817,334,210,894

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

The LCM of 817,334,210,894 is 4269176310.

Find LCM of 817,334,210,894 with Prime Factorization


2 817, 334, 210, 894
3 817, 167, 105, 447
817, 167, 35, 149

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

2 x 3 x 817 x 167 x 35 x 149 = 4269176310

Therefore, the lowest common multiple of 817,334,210,894 is 4269176310.

LCM Formula to Find Lowest Common Multiple of 817,334,210,894

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.

817 x 334 x 210 x 894 = 51230115720

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.

817 : 1, 19, 43, 817

334 : 1, 2, 167, 334

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

894 : 1, 2, 3, 6, 149, 298, 447, 894

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 817,334,210,894, is 1.

Now, the common factors can be found like this.

817:19x 43

334:2x 167

210:2x 3x 5x 7

894:2x 3x 149

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 = 51230115720/(1x12)

LCM = 51230115720/12

LCM = 4269176310

Thus, we can understand that the LCM of 817,334,210,894 is 4269176310.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 817, 334, 210, 894

1. What is the LCM of 817, 334, 210, 894?

Answer: LCM of 817, 334, 210, 894 is 4269176310.

2. How to calculate the LCM of 817, 334, 210, 894?

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 817, 334, 210, 894.

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}.