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LCM of 7, 703, 536, 670

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


Find the LCM of 7, 703, 536, 670 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 7, 703, 536, 670. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7,703,536,670

Given numbers are 7,703,536,670

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

The LCM of 7,703,536,670 is 13188280.

Find LCM of 7,703,536,670 with Prime Factorization


2 7, 703, 536, 670
67 7, 703, 268, 335
7, 703, 4, 5

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

2 x 67 x 7 x 703 x 4 x 5 = 13188280

Therefore, the lowest common multiple of 7,703,536,670 is 13188280.

LCM Formula to Find Lowest Common Multiple of 7,703,536,670

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.

7 x 703 x 536 x 670 = 1767229520

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.

7 : 1, 7

703 : 1, 19, 37, 703

536 : 1, 2, 4, 8, 67, 134, 268, 536

670 : 1, 2, 5, 10, 67, 134, 335, 670

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7,703,536,670, is 1.

Now, the common factors can be found like this.

7:7

703:19x 37

536:2x 2x 2x 67

670:2x 5x 67

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

2x 67 = 134

Therefore, the value for common factors is 134.

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 = 1767229520/(1x134)

LCM = 1767229520/134

LCM = 13188280

Thus, we can understand that the LCM of 7,703,536,670 is 13188280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 7, 703, 536, 670

1. What is the LCM of 7, 703, 536, 670?

Answer: LCM of 7, 703, 536, 670 is 13188280.

2. How to calculate the LCM of 7, 703, 536, 670?

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 7, 703, 536, 670.

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}.