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LCM of 378, 211, 236, 736, 611

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


Find the LCM of 378, 211, 236, 736, 611 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 378, 211, 236, 736, 611. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 378,211,236,736,611

Given numbers are 378,211,236,736,611

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

The LCM of 378,211,236,736,611 is 1058072180256.

Find LCM of 378,211,236,736,611 with Prime Factorization


2 378, 211, 236, 736, 611
2 189, 211, 118, 368, 611
189, 211, 59, 184, 611

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

2 x 2 x 189 x 211 x 59 x 184 x 611 = 1058072180256

Therefore, the lowest common multiple of 378,211,236,736,611 is 1058072180256.

LCM Formula to Find Lowest Common Multiple of 378,211,236,736,611

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.

378 x 211 x 236 x 736 x 611 = 8464577442048

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.

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

211 : 1, 211

236 : 1, 2, 4, 59, 118, 236

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

611 : 1, 13, 47, 611

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,211,236,736,611, is 1.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

211:211

236:2x 2x 59

736:2x 2x 2x 2x 2x 23

611:13x 47

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 2 = 8

Therefore, the value for common factors is 8.

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 = 8464577442048/(1x8)

LCM = 8464577442048/8

LCM = 1058072180256

Thus, we can understand that the LCM of 378,211,236,736,611 is 1058072180256.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 378, 211, 236, 736, 611

1. What is the LCM of 378, 211, 236, 736, 611?

Answer: LCM of 378, 211, 236, 736, 611 is 1058072180256.

2. How to calculate the LCM of 378, 211, 236, 736, 611?

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 378, 211, 236, 736, 611.

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}.