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LCM of 714, 948, 688, 215

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


Find the LCM of 714, 948, 688, 215 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 714, 948, 688, 215. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 714,948,688,215

Given numbers are 714,948,688,215

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

The LCM of 714,948,688,215 is 97018320.

Find LCM of 714,948,688,215 with Prime Factorization


2 714, 948, 688, 215
2 357, 474, 344, 215
3 357, 237, 172, 215
43 119, 79, 172, 215
119, 79, 4, 5

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

2 x 2 x 3 x 43 x 119 x 79 x 4 x 5 = 97018320

Therefore, the lowest common multiple of 714,948,688,215 is 97018320.

LCM Formula to Find Lowest Common Multiple of 714,948,688,215

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.

714 x 948 x 688 x 215 = 100122906240

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.

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

215 : 1, 5, 43, 215

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,948,688,215, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

948:2x 2x 3x 79

688:2x 2x 2x 2x 43

215:5x 43

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 3x 43 = 1032

Therefore, the value for common factors is 1032.

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 = 100122906240/(1x1032)

LCM = 100122906240/1032

LCM = 97018320

Thus, we can understand that the LCM of 714,948,688,215 is 97018320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 714, 948, 688, 215

1. What is the LCM of 714, 948, 688, 215?

Answer: LCM of 714, 948, 688, 215 is 97018320.

2. How to calculate the LCM of 714, 948, 688, 215?

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 714, 948, 688, 215.

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}.