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LCM of 557, 893, 736, 654

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


Find the LCM of 557, 893, 736, 654 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 557, 893, 736, 654. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 557,893,736,654

Given numbers are 557,893,736,654

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

The LCM of 557,893,736,654 is 119710493472.

Find LCM of 557,893,736,654 with Prime Factorization


2 557, 893, 736, 654
557, 893, 368, 327

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

2 x 557 x 893 x 368 x 327 = 119710493472

Therefore, the lowest common multiple of 557,893,736,654 is 119710493472.

LCM Formula to Find Lowest Common Multiple of 557,893,736,654

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.

557 x 893 x 736 x 654 = 239420986944

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.

557 : 1, 557

893 : 1, 19, 47, 893

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,893,736,654, is 1.

Now, the common factors can be found like this.

557:557

893:19x 47

736:2x 2x 2x 2x 2x 23

654:2x 3x 109

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 = 239420986944/(1x2)

LCM = 239420986944/2

LCM = 119710493472

Thus, we can understand that the LCM of 557,893,736,654 is 119710493472.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 557, 893, 736, 654

1. What is the LCM of 557, 893, 736, 654?

Answer: LCM of 557, 893, 736, 654 is 119710493472.

2. How to calculate the LCM of 557, 893, 736, 654?

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 557, 893, 736, 654.

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}.