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LCM of 980, 201, 692, 247, 520

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


Find the LCM of 980, 201, 692, 247, 520 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 980, 201, 692, 247, 520. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 980,201,692,247,520

Given numbers are 980,201,692,247,520

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

The LCM of 980,201,692,247,520 is 16834304760.

Find LCM of 980,201,692,247,520 with Prime Factorization


2 980, 201, 692, 247, 520
2 490, 201, 346, 247, 260
5 245, 201, 173, 247, 130
13 49, 201, 173, 247, 26
49, 201, 173, 19, 2

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

2 x 2 x 5 x 13 x 49 x 201 x 173 x 19 x 2 = 16834304760

Therefore, the lowest common multiple of 980,201,692,247,520 is 16834304760.

LCM Formula to Find Lowest Common Multiple of 980,201,692,247,520

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.

980 x 201 x 692 x 247 x 520 = 17507676950400

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.

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

201 : 1, 3, 67, 201

692 : 1, 2, 4, 173, 346, 692

247 : 1, 13, 19, 247

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,201,692,247,520, is 1.

Now, the common factors can be found like this.

980:2x 2x 5x 7x 7

201:3x 67

692:2x 2x 173

247:13x 19

520:2x 2x 2x 5x 13

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 13 = 1040

Therefore, the value for common factors is 1040.

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 = 17507676950400/(1x1040)

LCM = 17507676950400/1040

LCM = 16834304760

Thus, we can understand that the LCM of 980,201,692,247,520 is 16834304760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 980, 201, 692, 247, 520

1. What is the LCM of 980, 201, 692, 247, 520?

Answer: LCM of 980, 201, 692, 247, 520 is 16834304760.

2. How to calculate the LCM of 980, 201, 692, 247, 520?

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 980, 201, 692, 247, 520.

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}.