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LCM of 456, 938, 756, 203

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


Find the LCM of 456, 938, 756, 203 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 456, 938, 756, 203. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 456,938,756,203

Given numbers are 456,938,756,203

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

The LCM of 456,938,756,203 is 55818504.

Find LCM of 456,938,756,203 with Prime Factorization


2 456, 938, 756, 203
2 228, 469, 378, 203
3 114, 469, 189, 203
7 38, 469, 63, 203
38, 67, 9, 29

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

2 x 2 x 3 x 7 x 38 x 67 x 9 x 29 = 55818504

Therefore, the lowest common multiple of 456,938,756,203 is 55818504.

LCM Formula to Find Lowest Common Multiple of 456,938,756,203

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.

456 x 938 x 756 x 203 = 65642560704

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

938 : 1, 2, 7, 14, 67, 134, 469, 938

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

203 : 1, 7, 29, 203

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,938,756,203, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

938:2x 7x 67

756:2x 2x 3x 3x 3x 7

203:7x 29

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 7x 7 = 1176

Therefore, the value for common factors is 1176.

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 = 65642560704/(1x1176)

LCM = 65642560704/1176

LCM = 55818504

Thus, we can understand that the LCM of 456,938,756,203 is 55818504.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 456, 938, 756, 203

1. What is the LCM of 456, 938, 756, 203?

Answer: LCM of 456, 938, 756, 203 is 55818504.

2. How to calculate the LCM of 456, 938, 756, 203?

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 456, 938, 756, 203.

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}.