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LCM of 733, 740, 740, 378

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


Find the LCM of 733, 740, 740, 378 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 733, 740, 740, 378. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 733,740,740,378

Given numbers are 733,740,740,378

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

The LCM of 733,740,740,378 is 102517380.

Find LCM of 733,740,740,378 with Prime Factorization


2 733, 740, 740, 378
2 733, 370, 370, 189
5 733, 185, 185, 189
37 733, 37, 37, 189
733, 1, 1, 189

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

2 x 2 x 5 x 37 x 733 x 1 x 1 x 189 = 102517380

Therefore, the lowest common multiple of 733,740,740,378 is 102517380.

LCM Formula to Find Lowest Common Multiple of 733,740,740,378

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.

733 x 740 x 740 x 378 = 151725722400

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.

733 : 1, 733

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

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

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 733,740,740,378, is 1.

Now, the common factors can be found like this.

733:733

740:2x 2x 5x 37

740:2x 2x 5x 37

378:2x 3x 3x 3x 7

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 5x 37 = 1480

Therefore, the value for common factors is 1480.

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 = 151725722400/(1x1480)

LCM = 151725722400/1480

LCM = 102517380

Thus, we can understand that the LCM of 733,740,740,378 is 102517380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 733, 740, 740, 378

1. What is the LCM of 733, 740, 740, 378?

Answer: LCM of 733, 740, 740, 378 is 102517380.

2. How to calculate the LCM of 733, 740, 740, 378?

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 733, 740, 740, 378.

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}.