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LCM of 635, 176, 762, 145

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


Find the LCM of 635, 176, 762, 145 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, 176, 762, 145. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 635,176,762,145

Given numbers are 635,176,762,145

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

The LCM of 635,176,762,145 is 9723120.

Find LCM of 635,176,762,145 with Prime Factorization


2 635, 176, 762, 145
5 635, 88, 381, 145
127 127, 88, 381, 29
1, 88, 3, 29

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

2 x 5 x 127 x 1 x 88 x 3 x 29 = 9723120

Therefore, the lowest common multiple of 635,176,762,145 is 9723120.

LCM Formula to Find Lowest Common Multiple of 635,176,762,145

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 176 x 762 x 145 = 12348362400

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

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

762 : 1, 2, 3, 6, 127, 254, 381, 762

145 : 1, 5, 29, 145

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,176,762,145, is 1.

Now, the common factors can be found like this.

635:5x 127

176:2x 2x 2x 2x 11

762:2x 3x 127

145:5x 29

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

2x 5x 127 = 1270

Therefore, the value for common factors is 1270.

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 = 12348362400/(1x1270)

LCM = 12348362400/1270

LCM = 9723120

Thus, we can understand that the LCM of 635,176,762,145 is 9723120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 635, 176, 762, 145

1. What is the LCM of 635, 176, 762, 145?

Answer: LCM of 635, 176, 762, 145 is 9723120.

2. How to calculate the LCM of 635, 176, 762, 145?

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, 176, 762, 145.

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}.