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LCM of 109, 340, 542, 988

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


Find the LCM of 109, 340, 542, 988 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 109, 340, 542, 988. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 109,340,542,988

Given numbers are 109,340,542,988

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

The LCM of 109,340,542,988 is 2480685220.

Find LCM of 109,340,542,988 with Prime Factorization


2 109, 340, 542, 988
2 109, 170, 271, 494
109, 85, 271, 247

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

2 x 2 x 109 x 85 x 271 x 247 = 2480685220

Therefore, the lowest common multiple of 109,340,542,988 is 2480685220.

LCM Formula to Find Lowest Common Multiple of 109,340,542,988

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.

109 x 340 x 542 x 988 = 19845481760

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.

109 : 1, 109

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

542 : 1, 2, 271, 542

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 109,340,542,988, is 1.

Now, the common factors can be found like this.

109:109

340:2x 2x 5x 17

542:2x 271

988:2x 2x 13x 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 2 = 8

Therefore, the value for common factors is 8.

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 = 19845481760/(1x8)

LCM = 19845481760/8

LCM = 2480685220

Thus, we can understand that the LCM of 109,340,542,988 is 2480685220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 109, 340, 542, 988

1. What is the LCM of 109, 340, 542, 988?

Answer: LCM of 109, 340, 542, 988 is 2480685220.

2. How to calculate the LCM of 109, 340, 542, 988?

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 109, 340, 542, 988.

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}.