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LCM of 367, 748, 770, 562, 688

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


Find the LCM of 367, 748, 770, 562, 688 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 367, 748, 770, 562, 688. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 367,748,770,562,688

Given numbers are 367,748,770,562,688

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

The LCM of 367,748,770,562,688 is 464376755920.

Find LCM of 367,748,770,562,688 with Prime Factorization


2 367, 748, 770, 562, 688
2 367, 374, 385, 281, 344
11 367, 187, 385, 281, 172
367, 17, 35, 281, 172

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

2 x 2 x 11 x 367 x 17 x 35 x 281 x 172 = 464376755920

Therefore, the lowest common multiple of 367,748,770,562,688 is 464376755920.

LCM Formula to Find Lowest Common Multiple of 367,748,770,562,688

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.

367 x 748 x 770 x 562 x 688 = 81730309041920

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.

367 : 1, 367

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

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

562 : 1, 2, 281, 562

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,748,770,562,688, is 1.

Now, the common factors can be found like this.

367:367

748:2x 2x 11x 17

770:2x 5x 7x 11

562:2x 281

688:2x 2x 2x 2x 43

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 11 = 176

Therefore, the value for common factors is 176.

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 = 81730309041920/(1x176)

LCM = 81730309041920/176

LCM = 464376755920

Thus, we can understand that the LCM of 367,748,770,562,688 is 464376755920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 367, 748, 770, 562, 688

1. What is the LCM of 367, 748, 770, 562, 688?

Answer: LCM of 367, 748, 770, 562, 688 is 464376755920.

2. How to calculate the LCM of 367, 748, 770, 562, 688?

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 367, 748, 770, 562, 688.

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}.