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LCM of 937, 527, 510, 880

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


Find the LCM of 937, 527, 510, 880 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 937, 527, 510, 880. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 937,527,510,880

Given numbers are 937,527,510,880

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

The LCM of 937,527,510,880 is 1303629360.

Find LCM of 937,527,510,880 with Prime Factorization


2 937, 527, 510, 880
5 937, 527, 255, 440
17 937, 527, 51, 88
937, 31, 3, 88

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

2 x 5 x 17 x 937 x 31 x 3 x 88 = 1303629360

Therefore, the lowest common multiple of 937,527,510,880 is 1303629360.

LCM Formula to Find Lowest Common Multiple of 937,527,510,880

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.

937 x 527 x 510 x 880 = 221616991200

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.

937 : 1, 937

527 : 1, 17, 31, 527

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 937,527,510,880, is 1.

Now, the common factors can be found like this.

937:937

527:17x 31

510:2x 3x 5x 17

880:2x 2x 2x 2x 5x 11

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

2x 5x 17 = 170

Therefore, the value for common factors is 170.

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 = 221616991200/(1x170)

LCM = 221616991200/170

LCM = 1303629360

Thus, we can understand that the LCM of 937,527,510,880 is 1303629360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 937, 527, 510, 880

1. What is the LCM of 937, 527, 510, 880?

Answer: LCM of 937, 527, 510, 880 is 1303629360.

2. How to calculate the LCM of 937, 527, 510, 880?

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 937, 527, 510, 880.

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}.