Least Common Multiple of 34, 49, 714
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 34, 49, 714 i.e. 4998 smallest integer divisible by all numbers.
Least common multiple (LCM) of 34, 49, 714 is 4998.
LCM(34, 49, 714) = 4998
LCM of 34, 49, 714
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 34, 49, 714 by common division method
- Least Common Multiple of 34, 49, 714 with GCF Formula
Least Common Multiple (LCM) of 34,49,714 is 4998
| 2 | 34, 49, 714 |
| 7 | 17, 49, 357 |
| 17 | 17, 7, 51 |
| 1, 7, 3 |
∴ So the LCM of the given numbers is 2 x 7 x 17 x 1 x 7 x 3 = 4998
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 34,49,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,49,714) = 1
common factors(in case of two or more numbers have common factors) = 238
GCF(34,49,714) x common factors =1 x 238 = 238
LCM(34,49,714) = ( 34 × 49 × 714 ) / 238
LCM(34,49,714) = 1189524 / 238
LCM(34,49,714) = 4998
∴ Least Common Multiple of 34,49,714 is 4998
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 34, 49, 714
1. What is the LCM of 34, 49, 714?
Answer: LCM of 34, 49, 714 is 4998.
2. What are the Factors of 4998?
Answer: Factors of 4998 are . There are integers that are factors of 4998
3. How to Find the LCM of 34, 49, 714 ?
Least Common Multiple of 34, 49, 714.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(34, 49, 714) = 2 x 3 x 7 x 7 x 17 = 4998.