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LCM of 747, 748, 154, 855

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


Find the LCM of 747, 748, 154, 855 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 747, 748, 154, 855. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 747,748,154,855

Given numbers are 747,748,154,855

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

The LCM of 747,748,154,855 is 371572740.

Find LCM of 747,748,154,855 with Prime Factorization


2 747, 748, 154, 855
3 747, 374, 77, 855
3 249, 374, 77, 285
11 83, 374, 77, 95
83, 34, 7, 95

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

2 x 3 x 3 x 11 x 83 x 34 x 7 x 95 = 371572740

Therefore, the lowest common multiple of 747,748,154,855 is 371572740.

LCM Formula to Find Lowest Common Multiple of 747,748,154,855

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.

747 x 748 x 154 x 855 = 73571402520

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.

747 : 1, 3, 9, 83, 249, 747

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

154 : 1, 2, 7, 11, 14, 22, 77, 154

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,748,154,855, is 1.

Now, the common factors can be found like this.

747:3x 3x 83

748:2x 2x 11x 17

154:2x 7x 11

855:3x 3x 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 3x 3x 11 = 198

Therefore, the value for common factors is 198.

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 = 73571402520/(1x198)

LCM = 73571402520/198

LCM = 371572740

Thus, we can understand that the LCM of 747,748,154,855 is 371572740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 747, 748, 154, 855

1. What is the LCM of 747, 748, 154, 855?

Answer: LCM of 747, 748, 154, 855 is 371572740.

2. How to calculate the LCM of 747, 748, 154, 855?

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 747, 748, 154, 855.

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}.