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LCM of 554, 435, 249, 762, 658

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


Find the LCM of 554, 435, 249, 762, 658 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 554, 435, 249, 762, 658. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 554,435,249,762,658

Given numbers are 554,435,249,762,658

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

The LCM of 554,435,249,762,658 is 835750669110.

Find LCM of 554,435,249,762,658 with Prime Factorization


2 554, 435, 249, 762, 658
3 277, 435, 249, 381, 329
277, 145, 83, 127, 329

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

2 x 3 x 277 x 145 x 83 x 127 x 329 = 835750669110

Therefore, the lowest common multiple of 554,435,249,762,658 is 835750669110.

LCM Formula to Find Lowest Common Multiple of 554,435,249,762,658

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.

554 x 435 x 249 x 762 x 658 = 30087024087960

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.

554 : 1, 2, 277, 554

435 : 1, 3, 5, 15, 29, 87, 145, 435

249 : 1, 3, 83, 249

762 : 1, 2, 3, 6, 127, 254, 381, 762

658 : 1, 2, 7, 14, 47, 94, 329, 658

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 554,435,249,762,658, is 1.

Now, the common factors can be found like this.

554:2x 277

435:3x 5x 29

249:3x 83

762:2x 3x 127

658:2x 7x 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 2x 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 30087024087960/(1x36)

LCM = 30087024087960/36

LCM = 835750669110

Thus, we can understand that the LCM of 554,435,249,762,658 is 835750669110.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 554, 435, 249, 762, 658

1. What is the LCM of 554, 435, 249, 762, 658?

Answer: LCM of 554, 435, 249, 762, 658 is 835750669110.

2. How to calculate the LCM of 554, 435, 249, 762, 658?

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 554, 435, 249, 762, 658.

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}.