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LCM of 740, 962, 273, 107

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


Find the LCM of 740, 962, 273, 107 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 740, 962, 273, 107. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 740,962,273,107

Given numbers are 740,962,273,107

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

The LCM of 740,962,273,107 is 21616140.

Find LCM of 740,962,273,107 with Prime Factorization


2 740, 962, 273, 107
13 370, 481, 273, 107
37 370, 37, 21, 107
10, 1, 21, 107

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

2 x 13 x 37 x 10 x 1 x 21 x 107 = 21616140

Therefore, the lowest common multiple of 740,962,273,107 is 21616140.

LCM Formula to Find Lowest Common Multiple of 740,962,273,107

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.

740 x 962 x 273 x 107 = 20794726680

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.

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

962 : 1, 2, 13, 26, 37, 74, 481, 962

273 : 1, 3, 7, 13, 21, 39, 91, 273

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,962,273,107, is 1.

Now, the common factors can be found like this.

740:2x 2x 5x 37

962:2x 13x 37

273:3x 7x 13

107:107

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

2x 13x 37 = 962

Therefore, the value for common factors is 962.

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 = 20794726680/(1x962)

LCM = 20794726680/962

LCM = 21616140

Thus, we can understand that the LCM of 740,962,273,107 is 21616140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 740, 962, 273, 107

1. What is the LCM of 740, 962, 273, 107?

Answer: LCM of 740, 962, 273, 107 is 21616140.

2. How to calculate the LCM of 740, 962, 273, 107?

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 740, 962, 273, 107.

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}.