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LCM of 640, 840, 749, 310

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


Find the LCM of 640, 840, 749, 310 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 640, 840, 749, 310. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 640,840,749,310

Given numbers are 640,840,749,310

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

The LCM of 640,840,749,310 is 44580480.

Find LCM of 640,840,749,310 with Prime Factorization


2 640, 840, 749, 310
2 320, 420, 749, 155
2 160, 210, 749, 155
5 80, 105, 749, 155
7 16, 21, 749, 31
16, 3, 107, 31

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

2 x 2 x 2 x 5 x 7 x 16 x 3 x 107 x 31 = 44580480

Therefore, the lowest common multiple of 640,840,749,310 is 44580480.

LCM Formula to Find Lowest Common Multiple of 640,840,749,310

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.

640 x 840 x 749 x 310 = 124825344000

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.

640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

749 : 1, 7, 107, 749

310 : 1, 2, 5, 10, 31, 62, 155, 310

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 640,840,749,310, is 1.

Now, the common factors can be found like this.

640:2x 2x 2x 2x 2x 2x 2x 5

840:2x 2x 2x 3x 5x 7

749:7x 107

310:2x 5x 31

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 5x 5x 7 = 2800

Therefore, the value for common factors is 2800.

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 = 124825344000/(1x2800)

LCM = 124825344000/2800

LCM = 44580480

Thus, we can understand that the LCM of 640,840,749,310 is 44580480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 640, 840, 749, 310

1. What is the LCM of 640, 840, 749, 310?

Answer: LCM of 640, 840, 749, 310 is 44580480.

2. How to calculate the LCM of 640, 840, 749, 310?

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 640, 840, 749, 310.

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}.