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LCM of 377, 892, 154, 260

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


Find the LCM of 377, 892, 154, 260 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, 892, 154, 260. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 377,892,154,260

Given numbers are 377,892,154,260

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

The LCM of 377,892,154,260 is 129469340.

Find LCM of 377,892,154,260 with Prime Factorization


2 377, 892, 154, 260
2 377, 446, 77, 130
13 377, 223, 77, 65
29, 223, 77, 5

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

2 x 2 x 13 x 29 x 223 x 77 x 5 = 129469340

Therefore, the lowest common multiple of 377,892,154,260 is 129469340.

LCM Formula to Find Lowest Common Multiple of 377,892,154,260

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 892 x 154 x 260 = 13464811360

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

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

154 : 1, 2, 7, 11, 14, 22, 77, 154

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,892,154,260, is 1.

Now, the common factors can be found like this.

377:13x 29

892:2x 2x 223

154:2x 7x 11

260:2x 2x 5x 13

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 13 = 104

Therefore, the value for common factors is 104.

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 = 13464811360/(1x104)

LCM = 13464811360/104

LCM = 129469340

Thus, we can understand that the LCM of 377,892,154,260 is 129469340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 377, 892, 154, 260

1. What is the LCM of 377, 892, 154, 260?

Answer: LCM of 377, 892, 154, 260 is 129469340.

2. How to calculate the LCM of 377, 892, 154, 260?

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, 892, 154, 260.

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}.