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LCM of 377, 854, 696, 141

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


Find the LCM of 377, 854, 696, 141 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, 854, 696, 141. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 377,854,696,141

Given numbers are 377,854,696,141

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

The LCM of 377,854,696,141 is 181584312.

Find LCM of 377,854,696,141 with Prime Factorization


2 377, 854, 696, 141
3 377, 427, 348, 141
29 377, 427, 116, 47
13, 427, 4, 47

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

2 x 3 x 29 x 13 x 427 x 4 x 47 = 181584312

Therefore, the lowest common multiple of 377,854,696,141 is 181584312.

LCM Formula to Find Lowest Common Multiple of 377,854,696,141

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 854 x 696 x 141 = 31595670288

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

854 : 1, 2, 7, 14, 61, 122, 427, 854

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

141 : 1, 3, 47, 141

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,854,696,141, is 1.

Now, the common factors can be found like this.

377:13x 29

854:2x 7x 61

696:2x 2x 2x 3x 29

141:3x 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 3x 29 = 174

Therefore, the value for common factors is 174.

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 = 31595670288/(1x174)

LCM = 31595670288/174

LCM = 181584312

Thus, we can understand that the LCM of 377,854,696,141 is 181584312.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 377, 854, 696, 141

1. What is the LCM of 377, 854, 696, 141?

Answer: LCM of 377, 854, 696, 141 is 181584312.

2. How to calculate the LCM of 377, 854, 696, 141?

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, 854, 696, 141.

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}.