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LCM of 635, 760, 314, 280

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


Find the LCM of 635, 760, 314, 280 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 635, 760, 314, 280. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 635,760,314,280

Given numbers are 635,760,314,280

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

The LCM of 635,760,314,280 is 106075480.

Find LCM of 635,760,314,280 with Prime Factorization


2 635, 760, 314, 280
2 635, 380, 157, 140
2 635, 190, 157, 70
5 635, 95, 157, 35
127, 19, 157, 7

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

2 x 2 x 2 x 5 x 127 x 19 x 157 x 7 = 106075480

Therefore, the lowest common multiple of 635,760,314,280 is 106075480.

LCM Formula to Find Lowest Common Multiple of 635,760,314,280

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.

635 x 760 x 314 x 280 = 42430192000

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.

635 : 1, 5, 127, 635

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

314 : 1, 2, 157, 314

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,760,314,280, is 1.

Now, the common factors can be found like this.

635:5x 127

760:2x 2x 2x 5x 19

314:2x 157

280:2x 2x 2x 5x 7

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 5 = 400

Therefore, the value for common factors is 400.

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 = 42430192000/(1x400)

LCM = 42430192000/400

LCM = 106075480

Thus, we can understand that the LCM of 635,760,314,280 is 106075480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 635, 760, 314, 280

1. What is the LCM of 635, 760, 314, 280?

Answer: LCM of 635, 760, 314, 280 is 106075480.

2. How to calculate the LCM of 635, 760, 314, 280?

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 635, 760, 314, 280.

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}.