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LCM of 654, 884, 357, 884

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


Find the LCM of 654, 884, 357, 884 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 654, 884, 357, 884. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 654,884,357,884

Given numbers are 654,884,357,884

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

The LCM of 654,884,357,884 is 2023476.

Find LCM of 654,884,357,884 with Prime Factorization


2 654, 884, 357, 884
2 327, 442, 357, 442
3 327, 221, 357, 221
13 109, 221, 119, 221
17 109, 17, 119, 17
109, 1, 7, 1

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

2 x 2 x 3 x 13 x 17 x 109 x 1 x 7 x 1 = 2023476

Therefore, the lowest common multiple of 654,884,357,884 is 2023476.

LCM Formula to Find Lowest Common Multiple of 654,884,357,884

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.

654 x 884 x 357 x 884 = 182452783968

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.

654 : 1, 2, 3, 6, 109, 218, 327, 654

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

357 : 1, 3, 7, 17, 21, 51, 119, 357

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,884,357,884, is 1.

Now, the common factors can be found like this.

654:2x 3x 109

884:2x 2x 13x 17

357:3x 7x 17

884:2x 2x 13x 17

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 3x 13x 17x 17 = 90168

Therefore, the value for common factors is 90168.

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 = 182452783968/(1x90168)

LCM = 182452783968/90168

LCM = 2023476

Thus, we can understand that the LCM of 654,884,357,884 is 2023476.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 654, 884, 357, 884

1. What is the LCM of 654, 884, 357, 884?

Answer: LCM of 654, 884, 357, 884 is 2023476.

2. How to calculate the LCM of 654, 884, 357, 884?

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 654, 884, 357, 884.

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}.