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LCM of 988, 407, 551, 475, 253

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


Find the LCM of 988, 407, 551, 475, 253 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 988, 407, 551, 475, 253. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 988,407,551,475,253

Given numbers are 988,407,551,475,253

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

The LCM of 988,407,551,475,253 is 6705284300.

Find LCM of 988,407,551,475,253 with Prime Factorization


11 988, 407, 551, 475, 253
19 988, 37, 551, 475, 23
52, 37, 29, 25, 23

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

11 x 19 x 52 x 37 x 29 x 25 x 23 = 6705284300

Therefore, the lowest common multiple of 988,407,551,475,253 is 6705284300.

LCM Formula to Find Lowest Common Multiple of 988,407,551,475,253

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.

988 x 407 x 551 x 475 x 253 = 26626683955300

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.

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

407 : 1, 11, 37, 407

551 : 1, 19, 29, 551

475 : 1, 5, 19, 25, 95, 475

253 : 1, 11, 23, 253

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,407,551,475,253, is 1.

Now, the common factors can be found like this.

988:2x 2x 13x 19

407:11x 37

551:19x 29

475:5x 5x 19

253:11x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11x 19x 19 = 3971

Therefore, the value for common factors is 3971.

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 = 26626683955300/(1x3971)

LCM = 26626683955300/3971

LCM = 6705284300

Thus, we can understand that the LCM of 988,407,551,475,253 is 6705284300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 988, 407, 551, 475, 253

1. What is the LCM of 988, 407, 551, 475, 253?

Answer: LCM of 988, 407, 551, 475, 253 is 6705284300.

2. How to calculate the LCM of 988, 407, 551, 475, 253?

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 988, 407, 551, 475, 253.

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}.