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LCM of 303, 142, 520, 781

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


Find the LCM of 303, 142, 520, 781 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 303, 142, 520, 781. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 303,142,520,781

Given numbers are 303,142,520,781

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

The LCM of 303,142,520,781 is 123054360.

Find LCM of 303,142,520,781 with Prime Factorization


2 303, 142, 520, 781
71 303, 71, 260, 781
303, 1, 260, 11

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

2 x 71 x 303 x 1 x 260 x 11 = 123054360

Therefore, the lowest common multiple of 303,142,520,781 is 123054360.

LCM Formula to Find Lowest Common Multiple of 303,142,520,781

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.

303 x 142 x 520 x 781 = 17473719120

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.

303 : 1, 3, 101, 303

142 : 1, 2, 71, 142

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

781 : 1, 11, 71, 781

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,142,520,781, is 1.

Now, the common factors can be found like this.

303:3x 101

142:2x 71

520:2x 2x 2x 5x 13

781:11x 71

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

2x 71 = 142

Therefore, the value for common factors is 142.

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 = 17473719120/(1x142)

LCM = 17473719120/142

LCM = 123054360

Thus, we can understand that the LCM of 303,142,520,781 is 123054360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 303, 142, 520, 781

1. What is the LCM of 303, 142, 520, 781?

Answer: LCM of 303, 142, 520, 781 is 123054360.

2. How to calculate the LCM of 303, 142, 520, 781?

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 303, 142, 520, 781.

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}.