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LCM of 524, 740, 970, 520, 271

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


Find the LCM of 524, 740, 970, 520, 271 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, 740, 970, 520, 271. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 524,740,970,520,271

Given numbers are 524,740,970,520,271

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

The LCM of 524,740,970,520,271 is 66254806280.

Find LCM of 524,740,970,520,271 with Prime Factorization


2 524, 740, 970, 520, 271
2 262, 370, 485, 260, 271
5 131, 185, 485, 130, 271
131, 37, 97, 26, 271

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

2 x 2 x 5 x 131 x 37 x 97 x 26 x 271 = 66254806280

Therefore, the lowest common multiple of 524,740,970,520,271 is 66254806280.

LCM Formula to Find Lowest Common Multiple of 524,740,970,520,271

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 740 x 970 x 520 x 271 = 53003845024000

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

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

970 : 1, 2, 5, 10, 97, 194, 485, 970

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

271 : 1, 271

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,740,970,520,271, is 1.

Now, the common factors can be found like this.

524:2x 2x 131

740:2x 2x 5x 37

970:2x 5x 97

520:2x 2x 2x 5x 13

271:271

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 2x 5x 5 = 800

Therefore, the value for common factors is 800.

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 = 53003845024000/(1x800)

LCM = 53003845024000/800

LCM = 66254806280

Thus, we can understand that the LCM of 524,740,970,520,271 is 66254806280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 524, 740, 970, 520, 271

1. What is the LCM of 524, 740, 970, 520, 271?

Answer: LCM of 524, 740, 970, 520, 271 is 66254806280.

2. How to calculate the LCM of 524, 740, 970, 520, 271?

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, 740, 970, 520, 271.

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}.