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LCM of 377, 211, 410, 774

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


Find the LCM of 377, 211, 410, 774 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 377, 211, 410, 774. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 377,211,410,774

Given numbers are 377,211,410,774

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

The LCM of 377,211,410,774 is 12621722490.

Find LCM of 377,211,410,774 with Prime Factorization


2 377, 211, 410, 774
377, 211, 205, 387

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

2 x 377 x 211 x 205 x 387 = 12621722490

Therefore, the lowest common multiple of 377,211,410,774 is 12621722490.

LCM Formula to Find Lowest Common Multiple of 377,211,410,774

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.

377 x 211 x 410 x 774 = 25243444980

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.

377 : 1, 13, 29, 377

211 : 1, 211

410 : 1, 2, 5, 10, 41, 82, 205, 410

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,211,410,774, is 1.

Now, the common factors can be found like this.

377:13x 29

211:211

410:2x 5x 41

774:2x 3x 3x 43

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

2 = 2

Therefore, the value for common factors is 2.

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 = 25243444980/(1x2)

LCM = 25243444980/2

LCM = 12621722490

Thus, we can understand that the LCM of 377,211,410,774 is 12621722490.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 377, 211, 410, 774

1. What is the LCM of 377, 211, 410, 774?

Answer: LCM of 377, 211, 410, 774 is 12621722490.

2. How to calculate the LCM of 377, 211, 410, 774?

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 377, 211, 410, 774.

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}.