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LCM of 756, 968, 984, 133

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


Find the LCM of 756, 968, 984, 133 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 756, 968, 984, 133. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 756,968,984,133

Given numbers are 756,968,984,133

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

The LCM of 756,968,984,133 is 142519608.

Find LCM of 756,968,984,133 with Prime Factorization


2 756, 968, 984, 133
2 378, 484, 492, 133
2 189, 242, 246, 133
3 189, 121, 123, 133
7 63, 121, 41, 133
9, 121, 41, 19

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

2 x 2 x 2 x 3 x 7 x 9 x 121 x 41 x 19 = 142519608

Therefore, the lowest common multiple of 756,968,984,133 is 142519608.

LCM Formula to Find Lowest Common Multiple of 756,968,984,133

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.

756 x 968 x 984 x 133 = 95773176576

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.

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

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

133 : 1, 7, 19, 133

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,968,984,133, is 1.

Now, the common factors can be found like this.

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

968:2x 2x 2x 11x 11

984:2x 2x 2x 3x 41

133:7x 19

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 2x 2x 3x 7 = 672

Therefore, the value for common factors is 672.

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 = 95773176576/(1x672)

LCM = 95773176576/672

LCM = 142519608

Thus, we can understand that the LCM of 756,968,984,133 is 142519608.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 756, 968, 984, 133

1. What is the LCM of 756, 968, 984, 133?

Answer: LCM of 756, 968, 984, 133 is 142519608.

2. How to calculate the LCM of 756, 968, 984, 133?

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 756, 968, 984, 133.

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}.