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LCM of 748, 505, 874, 565

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


Find the LCM of 748, 505, 874, 565 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 748, 505, 874, 565. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 748,505,874,565

Given numbers are 748,505,874,565

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

The LCM of 748,505,874,565 is 18653178940.

Find LCM of 748,505,874,565 with Prime Factorization


2 748, 505, 874, 565
5 374, 505, 437, 565
374, 101, 437, 113

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

2 x 5 x 374 x 101 x 437 x 113 = 18653178940

Therefore, the lowest common multiple of 748,505,874,565 is 18653178940.

LCM Formula to Find Lowest Common Multiple of 748,505,874,565

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.

748 x 505 x 874 x 565 = 186531789400

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.

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

505 : 1, 5, 101, 505

874 : 1, 2, 19, 23, 38, 46, 437, 874

565 : 1, 5, 113, 565

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,505,874,565, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

505:5x 101

874:2x 19x 23

565:5x 113

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 186531789400/(1x10)

LCM = 186531789400/10

LCM = 18653178940

Thus, we can understand that the LCM of 748,505,874,565 is 18653178940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 748, 505, 874, 565

1. What is the LCM of 748, 505, 874, 565?

Answer: LCM of 748, 505, 874, 565 is 18653178940.

2. How to calculate the LCM of 748, 505, 874, 565?

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 748, 505, 874, 565.

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}.