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LCM of 948, 614, 726, 518, 702

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


Find the LCM of 948, 614, 726, 518, 702 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 948, 614, 726, 518, 702. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 948,614,726,518,702

Given numbers are 948,614,726,518,702

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

The LCM of 948,614,726,518,702 is 1067130932868.

Find LCM of 948,614,726,518,702 with Prime Factorization


2 948, 614, 726, 518, 702
3 474, 307, 363, 259, 351
158, 307, 121, 259, 117

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

2 x 3 x 158 x 307 x 121 x 259 x 117 = 1067130932868

Therefore, the lowest common multiple of 948,614,726,518,702 is 1067130932868.

LCM Formula to Find Lowest Common Multiple of 948,614,726,518,702

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.

948 x 614 x 726 x 518 x 702 = 153666854332992

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.

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

614 : 1, 2, 307, 614

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

518 : 1, 2, 7, 14, 37, 74, 259, 518

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,614,726,518,702, is 2.

Now, the common factors can be found like this.

948:2x 2x 3x 79

614:2x 307

726:2x 3x 11x 11

518:2x 7x 37

702:2x 3x 3x 3x 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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 153666854332992/(2x72)

LCM = 153666854332992/144

LCM = 1067130932868

Thus, we can understand that the LCM of 948,614,726,518,702 is 1067130932868.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 948, 614, 726, 518, 702

1. What is the LCM of 948, 614, 726, 518, 702?

Answer: LCM of 948, 614, 726, 518, 702 is 1067130932868.

2. How to calculate the LCM of 948, 614, 726, 518, 702?

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 948, 614, 726, 518, 702.

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}.