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LCM of 524, 121, 530, 254, 762

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


Find the LCM of 524, 121, 530, 254, 762 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 524, 121, 530, 254, 762. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 524,121,530,254,762

Given numbers are 524,121,530,254,762

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

The LCM of 524,121,530,254,762 is 6401584860.

Find LCM of 524,121,530,254,762 with Prime Factorization


2 524, 121, 530, 254, 762
127 262, 121, 265, 127, 381
262, 121, 265, 1, 3

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

2 x 127 x 262 x 121 x 265 x 1 x 3 = 6401584860

Therefore, the lowest common multiple of 524,121,530,254,762 is 6401584860.

LCM Formula to Find Lowest Common Multiple of 524,121,530,254,762

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.

524 x 121 x 530 x 254 x 762 = 6504010217760

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.

524 : 1, 2, 4, 131, 262, 524

121 : 1, 11, 121

530 : 1, 2, 5, 10, 53, 106, 265, 530

254 : 1, 2, 127, 254

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,121,530,254,762, is 1.

Now, the common factors can be found like this.

524:2x 2x 131

121:11x 11

530:2x 5x 53

254:2x 127

762:2x 3x 127

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 127 = 1016

Therefore, the value for common factors is 1016.

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 = 6504010217760/(1x1016)

LCM = 6504010217760/1016

LCM = 6401584860

Thus, we can understand that the LCM of 524,121,530,254,762 is 6401584860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 524, 121, 530, 254, 762

1. What is the LCM of 524, 121, 530, 254, 762?

Answer: LCM of 524, 121, 530, 254, 762 is 6401584860.

2. How to calculate the LCM of 524, 121, 530, 254, 762?

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 524, 121, 530, 254, 762.

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}.