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LCM of 751, 751, 421, 927, 970

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


Find the LCM of 751, 751, 421, 927, 970 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 751, 751, 421, 927, 970. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 751,751,421,927,970

Given numbers are 751,751,421,927,970

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

The LCM of 751,751,421,927,970 is 284297801490.

Find LCM of 751,751,421,927,970 with Prime Factorization


751 751, 751, 421, 927, 970
1, 1, 421, 927, 970

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

751 x 1 x 1 x 421 x 927 x 970 = 284297801490

Therefore, the lowest common multiple of 751,751,421,927,970 is 284297801490.

LCM Formula to Find Lowest Common Multiple of 751,751,421,927,970

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.

751 x 751 x 421 x 927 x 970 = 213507648918990

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.

751 : 1, 751

751 : 1, 751

421 : 1, 421

927 : 1, 3, 9, 103, 309, 927

970 : 1, 2, 5, 10, 97, 194, 485, 970

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,751,421,927,970, is 1.

Now, the common factors can be found like this.

751:751

751:751

421:421

927:3x 3x 103

970:2x 5x 97

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

751 = 751

Therefore, the value for common factors is 751.

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 = 213507648918990/(1x751)

LCM = 213507648918990/751

LCM = 284297801490

Thus, we can understand that the LCM of 751,751,421,927,970 is 284297801490.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 751, 751, 421, 927, 970

1. What is the LCM of 751, 751, 421, 927, 970?

Answer: LCM of 751, 751, 421, 927, 970 is 284297801490.

2. How to calculate the LCM of 751, 751, 421, 927, 970?

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 751, 751, 421, 927, 970.

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}.