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LCM of 656, 186, 490, 749

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


Find the LCM of 656, 186, 490, 749 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 656, 186, 490, 749. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 656,186,490,749

Given numbers are 656,186,490,749

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

The LCM of 656,186,490,749 is 1599324720.

Find LCM of 656,186,490,749 with Prime Factorization


2 656, 186, 490, 749
7 328, 93, 245, 749
328, 93, 35, 107

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

2 x 7 x 328 x 93 x 35 x 107 = 1599324720

Therefore, the lowest common multiple of 656,186,490,749 is 1599324720.

LCM Formula to Find Lowest Common Multiple of 656,186,490,749

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.

656 x 186 x 490 x 749 = 44781092160

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.

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

186 : 1, 2, 3, 6, 31, 62, 93, 186

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 656,186,490,749, is 1.

Now, the common factors can be found like this.

656:2x 2x 2x 2x 41

186:2x 3x 31

490:2x 5x 7x 7

749:7x 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 2x 7 = 28

Therefore, the value for common factors is 28.

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 = 44781092160/(1x28)

LCM = 44781092160/28

LCM = 1599324720

Thus, we can understand that the LCM of 656,186,490,749 is 1599324720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 656, 186, 490, 749

1. What is the LCM of 656, 186, 490, 749?

Answer: LCM of 656, 186, 490, 749 is 1599324720.

2. How to calculate the LCM of 656, 186, 490, 749?

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 656, 186, 490, 749.

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}.