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LCM of 343, 455, 884, 141

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


Find the LCM of 343, 455, 884, 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 343, 455, 884, 141. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 343,455,884,141

Given numbers are 343,455,884,141

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

The LCM of 343,455,884,141 is 213764460.

Find LCM of 343,455,884,141 with Prime Factorization


7 343, 455, 884, 141
13 49, 65, 884, 141
49, 5, 68, 141

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

7 x 13 x 49 x 5 x 68 x 141 = 213764460

Therefore, the lowest common multiple of 343,455,884,141 is 213764460.

LCM Formula to Find Lowest Common Multiple of 343,455,884,141

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.

343 x 455 x 884 x 141 = 19452565860

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.

343 : 1, 7, 49, 343

455 : 1, 5, 7, 13, 35, 65, 91, 455

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

141 : 1, 3, 47, 141

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,455,884,141, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

455:5x 7x 13

884:2x 2x 13x 17

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.

7x 13 = 91

Therefore, the value for common factors is 91.

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 = 19452565860/(1x91)

LCM = 19452565860/91

LCM = 213764460

Thus, we can understand that the LCM of 343,455,884,141 is 213764460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 343, 455, 884, 141

1. What is the LCM of 343, 455, 884, 141?

Answer: LCM of 343, 455, 884, 141 is 213764460.

2. How to calculate the LCM of 343, 455, 884, 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 343, 455, 884, 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}.