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LCM of 988, 437, 326, 670, 760

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


Find the LCM of 988, 437, 326, 670, 760 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, 437, 326, 670, 760. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 988,437,326,670,760

Given numbers are 988,437,326,670,760

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

The LCM of 988,437,326,670,760 is 2481688040.

Find LCM of 988,437,326,670,760 with Prime Factorization


2 988, 437, 326, 670, 760
2 494, 437, 163, 335, 380
5 247, 437, 163, 335, 190
19 247, 437, 163, 67, 38
13, 23, 163, 67, 2

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

2 x 2 x 5 x 19 x 13 x 23 x 163 x 67 x 2 = 2481688040

Therefore, the lowest common multiple of 988,437,326,670,760 is 2481688040.

LCM Formula to Find Lowest Common Multiple of 988,437,326,670,760

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 437 x 326 x 670 x 760 = 71671150595200

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

437 : 1, 19, 23, 437

326 : 1, 2, 163, 326

670 : 1, 2, 5, 10, 67, 134, 335, 670

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,437,326,670,760, is 1.

Now, the common factors can be found like this.

988:2x 2x 13x 19

437:19x 23

326:2x 163

670:2x 5x 67

760:2x 2x 2x 5x 19

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 2x 5x 19x 19 = 28880

Therefore, the value for common factors is 28880.

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 = 71671150595200/(1x28880)

LCM = 71671150595200/28880

LCM = 2481688040

Thus, we can understand that the LCM of 988,437,326,670,760 is 2481688040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 988, 437, 326, 670, 760

1. What is the LCM of 988, 437, 326, 670, 760?

Answer: LCM of 988, 437, 326, 670, 760 is 2481688040.

2. How to calculate the LCM of 988, 437, 326, 670, 760?

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, 437, 326, 670, 760.

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}.