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LCM of 740, 750, 548, 108

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


Find the LCM of 740, 750, 548, 108 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, 750, 548, 108. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 740,750,548,108

Given numbers are 740,750,548,108

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

The LCM of 740,750,548,108 is 68431500.

Find LCM of 740,750,548,108 with Prime Factorization


2 740, 750, 548, 108
2 370, 375, 274, 54
3 185, 375, 137, 27
5 185, 125, 137, 9
37, 25, 137, 9

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

2 x 2 x 3 x 5 x 37 x 25 x 137 x 9 = 68431500

Therefore, the lowest common multiple of 740,750,548,108 is 68431500.

LCM Formula to Find Lowest Common Multiple of 740,750,548,108

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 750 x 548 x 108 = 32847120000

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

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

548 : 1, 2, 4, 137, 274, 548

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,750,548,108, is 2.

Now, the common factors can be found like this.

740:2x 2x 5x 37

750:2x 3x 5x 5x 5

548:2x 2x 137

108:2x 2x 3x 3x 3

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 3x 5 = 240

Therefore, the value for common factors is 240.

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 = 32847120000/(2x240)

LCM = 32847120000/480

LCM = 68431500

Thus, we can understand that the LCM of 740,750,548,108 is 68431500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 740, 750, 548, 108

1. What is the LCM of 740, 750, 548, 108?

Answer: LCM of 740, 750, 548, 108 is 68431500.

2. How to calculate the LCM of 740, 750, 548, 108?

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, 750, 548, 108.

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}.