Least Common Multiple of 290 and 294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 290 and 294 the smallest integer that is 42630 that is divisible by both numbers.

Least Common Multiple (LCM) of 290 and 294 is 42630.

LCM(290,294) = 42630

LCM of 290 and 294

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 290 and 294

LCM of 290 and 294 is 42630

Least common multiple can be found by multiplying the highest exponent prime factors of 290 and 294. First we will calculate the prime factors of 290 and 294.

Prime Factorization of 290


2 290
5 145
29 29
1

Prime factors of 290 are 2, 5,29. Prime factorization of 290 in exponential form is:

290 = 21×51×291

Prime Factorization of 294


2 294
3 147
7 49
7 7
1

Prime factors of 294 are 2, 3,7. Prime factorization of 294 in exponential form is:

294 = 21×31×72

Now multiplying the highest exponent prime factors to calculate the LCM of 290 and 294.

LCM(290,294) = 21×31×51×72×291
LCM(290,294) = 42630

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Least Common Multiple of 290 and 294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 290 and 294, than apply into the LCM equation.

GCF(290,294) = 2
LCM(290,294) = ( 290 × 294) / 2
LCM(290,294) = 85260 / 2
LCM(290,294) = 42630

Properties of LCM 290 and 294

(i) The LCM of 294 and 290 is associative

LCM of 290 and 294 = LCM of 294 and 290

Related Least Common Multiples of 290

Related Least Common Multiples of 294

Frequently Asked Questions on LCM of 290 and 294

1. What is the LCM of 290 and 294?

Answer: LCM of 290 and 294 is 42630.

2. What are the Factors of 290?

Answer: Factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290. There are 8 integers that are factors of 290. The greatest factor of 290 is 290.

3. What are the Factors of 294?

Answer: Factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294. There are 12 integers that are factors of 294. The greatest factor of 294 is 294.

4. How to Find the LCM of 290 and 294?

Answer:

Least Common Multiple of 290 and 294 = 42630

Step 1: Find the prime factorization of 290

290 = 2 x 5 x 29

Step 2: Find the prime factorization of 294

294 = 2 x 3 x 7 x 7

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 42630 = 2 x 3 x 5 x 7 x 7 x 29

Step 4: Therefore, the least common multiple of 290 and 294 is 42630.