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LCM of 740, 962, 345, 597

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


Find the LCM of 740, 962, 345, 597 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 740, 962, 345, 597. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 740,962,345,597

Given numbers are 740,962,345,597

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

The LCM of 740,962,345,597 is 132092220.

Find LCM of 740,962,345,597 with Prime Factorization


2 740, 962, 345, 597
3 370, 481, 345, 597
5 370, 481, 115, 199
37 74, 481, 23, 199
2, 13, 23, 199

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

2 x 3 x 5 x 37 x 2 x 13 x 23 x 199 = 132092220

Therefore, the lowest common multiple of 740,962,345,597 is 132092220.

LCM Formula to Find Lowest Common Multiple of 740,962,345,597

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.

740 x 962 x 345 x 597 = 146622364200

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.

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

962 : 1, 2, 13, 26, 37, 74, 481, 962

345 : 1, 3, 5, 15, 23, 69, 115, 345

597 : 1, 3, 199, 597

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,962,345,597, is 1.

Now, the common factors can be found like this.

740:2x 2x 5x 37

962:2x 13x 37

345:3x 5x 23

597:3x 199

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

2x 3x 5x 37 = 1110

Therefore, the value for common factors is 1110.

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 = 146622364200/(1x1110)

LCM = 146622364200/1110

LCM = 132092220

Thus, we can understand that the LCM of 740,962,345,597 is 132092220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 740, 962, 345, 597

1. What is the LCM of 740, 962, 345, 597?

Answer: LCM of 740, 962, 345, 597 is 132092220.

2. How to calculate the LCM of 740, 962, 345, 597?

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 740, 962, 345, 597.

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}.