LCM for 210 and 350
What's the Least Common Multiple (LCM) of 210 and 350?
(One thousand, fifty)
Finding LCM for 210 and 350 using GCF's of these numbers
The first method to find LCM for numbers 210 and 350 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 210 and 350 is 70, so
LCM = (210 × 350) ÷ 70
LCM = 73500 ÷ 70
LCM = 1050
Finding LCM for 210 and 350 by Listing Multiples
The second method to find LCM for numbers 210 and 350 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 210: 210, 420, 630, 840, 1050, 1260, 1470
Multiples of 350: 350, 700, 1050, 1400, 1750
So the LCM for 210 and 350 is 1050
Finding LCM for 210 and 350 by Prime Factorization
Another method to find LCM for numbers 210 and 350 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 210: 2, 3, 5, 7 (exponent form: 21, 31, 51, 71)
All Prime Factors of 350: 2, 5, 5, 7 (exponent form: 21, 52, 71)
21 × 31 × 52 × 71 = 1050
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
195 | 350 | 13650 |
196 | 350 | 4900 |
197 | 350 | 68950 |
198 | 350 | 34650 |
199 | 350 | 69650 |
200 | 350 | 1400 |
201 | 350 | 70350 |
202 | 350 | 35350 |
203 | 350 | 10150 |
204 | 350 | 35700 |
205 | 350 | 14350 |
206 | 350 | 36050 |
207 | 350 | 72450 |
208 | 350 | 36400 |
209 | 350 | 73150 |
210 | 350 | 1050 |
211 | 350 | 73850 |
212 | 350 | 37100 |
213 | 350 | 74550 |
214 | 350 | 37450 |
215 | 350 | 15050 |
216 | 350 | 37800 |
217 | 350 | 10850 |
218 | 350 | 38150 |
219 | 350 | 76650 |
220 | 350 | 7700 |
221 | 350 | 77350 |
222 | 350 | 38850 |
223 | 350 | 78050 |
224 | 350 | 5600 |
About "Least Common Multiple" Calculator
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers