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LCM of 542, 677, 105, 918, 757

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


Find the LCM of 542, 677, 105, 918, 757 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 542, 677, 105, 918, 757. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 542,677,105,918,757

Given numbers are 542,677,105,918,757

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

The LCM of 542,677,105,918,757 is 4462359595470.

Find LCM of 542,677,105,918,757 with Prime Factorization


2 542, 677, 105, 918, 757
3 271, 677, 105, 459, 757
271, 677, 35, 153, 757

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

2 x 3 x 271 x 677 x 35 x 153 x 757 = 4462359595470

Therefore, the lowest common multiple of 542,677,105,918,757 is 4462359595470.

LCM Formula to Find Lowest Common Multiple of 542,677,105,918,757

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.

542 x 677 x 105 x 918 x 757 = 26774157572820

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.

542 : 1, 2, 271, 542

677 : 1, 677

105 : 1, 3, 5, 7, 15, 21, 35, 105

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

757 : 1, 757

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,677,105,918,757, is 1.

Now, the common factors can be found like this.

542:2x 271

677:677

105:3x 5x 7

918:2x 3x 3x 3x 17

757:757

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 26774157572820/(1x6)

LCM = 26774157572820/6

LCM = 4462359595470

Thus, we can understand that the LCM of 542,677,105,918,757 is 4462359595470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 542, 677, 105, 918, 757

1. What is the LCM of 542, 677, 105, 918, 757?

Answer: LCM of 542, 677, 105, 918, 757 is 4462359595470.

2. How to calculate the LCM of 542, 677, 105, 918, 757?

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 542, 677, 105, 918, 757.

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}.