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LCM of 109, 670, 715, 724

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


Find the LCM of 109, 670, 715, 724 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 109, 670, 715, 724. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 109,670,715,724

Given numbers are 109,670,715,724

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

The LCM of 109,670,715,724 is 3780470980.

Find LCM of 109,670,715,724 with Prime Factorization


2 109, 670, 715, 724
5 109, 335, 715, 362
109, 67, 143, 362

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

2 x 5 x 109 x 67 x 143 x 362 = 3780470980

Therefore, the lowest common multiple of 109,670,715,724 is 3780470980.

LCM Formula to Find Lowest Common Multiple of 109,670,715,724

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.

109 x 670 x 715 x 724 = 37804709800

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.

109 : 1, 109

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

715 : 1, 5, 11, 13, 55, 65, 143, 715

724 : 1, 2, 4, 181, 362, 724

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 109,670,715,724, is 1.

Now, the common factors can be found like this.

109:109

670:2x 5x 67

715:5x 11x 13

724:2x 2x 181

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 37804709800/(1x10)

LCM = 37804709800/10

LCM = 3780470980

Thus, we can understand that the LCM of 109,670,715,724 is 3780470980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 109, 670, 715, 724

1. What is the LCM of 109, 670, 715, 724?

Answer: LCM of 109, 670, 715, 724 is 3780470980.

2. How to calculate the LCM of 109, 670, 715, 724?

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 109, 670, 715, 724.

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}.