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LCM of 335, 960, 419, 980

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


Find the LCM of 335, 960, 419, 980 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 335, 960, 419, 980. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 335,960,419,980

Given numbers are 335,960,419,980

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

The LCM of 335,960,419,980 is 1320553920.

Find LCM of 335,960,419,980 with Prime Factorization


2 335, 960, 419, 980
2 335, 480, 419, 490
5 335, 240, 419, 245
67, 48, 419, 49

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

2 x 2 x 5 x 67 x 48 x 419 x 49 = 1320553920

Therefore, the lowest common multiple of 335,960,419,980 is 1320553920.

LCM Formula to Find Lowest Common Multiple of 335,960,419,980

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.

335 x 960 x 419 x 980 = 132055392000

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.

335 : 1, 5, 67, 335

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

419 : 1, 419

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 335,960,419,980, is 1.

Now, the common factors can be found like this.

335:5x 67

960:2x 2x 2x 2x 2x 2x 3x 5

419:419

980:2x 2x 5x 7x 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 5x 5 = 100

Therefore, the value for common factors is 100.

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 = 132055392000/(1x100)

LCM = 132055392000/100

LCM = 1320553920

Thus, we can understand that the LCM of 335,960,419,980 is 1320553920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 335, 960, 419, 980

1. What is the LCM of 335, 960, 419, 980?

Answer: LCM of 335, 960, 419, 980 is 1320553920.

2. How to calculate the LCM of 335, 960, 419, 980?

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 335, 960, 419, 980.

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}.