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LCM of 862, 203, 294, 676, 738

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


Find the LCM of 862, 203, 294, 676, 738 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 862, 203, 294, 676, 738. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 862,203,294,676,738

Given numbers are 862,203,294,676,738

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

The LCM of 862,203,294,676,738 is 152772227244.

Find LCM of 862,203,294,676,738 with Prime Factorization


2 862, 203, 294, 676, 738
3 431, 203, 147, 338, 369
7 431, 203, 49, 338, 123
431, 29, 7, 338, 123

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

2 x 3 x 7 x 431 x 29 x 7 x 338 x 123 = 152772227244

Therefore, the lowest common multiple of 862,203,294,676,738 is 152772227244.

LCM Formula to Find Lowest Common Multiple of 862,203,294,676,738

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.

862 x 203 x 294 x 676 x 738 = 25665734176992

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.

862 : 1, 2, 431, 862

203 : 1, 7, 29, 203

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 862,203,294,676,738, is 1.

Now, the common factors can be found like this.

862:2x 431

203:7x 29

294:2x 3x 7x 7

676:2x 2x 13x 13

738:2x 3x 3x 41

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 2x 3x 7 = 168

Therefore, the value for common factors is 168.

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 = 25665734176992/(1x168)

LCM = 25665734176992/168

LCM = 152772227244

Thus, we can understand that the LCM of 862,203,294,676,738 is 152772227244.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 862, 203, 294, 676, 738

1. What is the LCM of 862, 203, 294, 676, 738?

Answer: LCM of 862, 203, 294, 676, 738 is 152772227244.

2. How to calculate the LCM of 862, 203, 294, 676, 738?

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 862, 203, 294, 676, 738.

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}.