LCM for 7 and 343

What's the Least Common Multiple (LCM) of 7 and 343?

Answer: LCM of 7 and 343 is 343

(Three hundred forty-three)

Finding LCM for 7 and 343 using GCF's of these numbers

The first method to find LCM for numbers 7 and 343 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 7 and 343 is 7, so

LCM = (7 × 343) ÷ 7

LCM = 2401 ÷ 7

LCM = 343

Finding LCM for 7 and 343 by Listing Multiples

The second method to find LCM for numbers 7 and 343 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140, 147, 154, 161, 168, 175, 182, 189, 196, 203, 210, 217, 224, 231, 238, 245, 252, 259, 266, 273, 280, 287, 294, 301, 308, 315, 322, 329, 336, 343, 350, 357

Multiples of 343: 343, 686, 1029, 1372, 1715, 2058, 2401, 2744, 3087, 3430, 3773, 4116, 4459, 4802, 5145, 5488, 5831, 6174, 6517, 6860, 7203, 7546, 7889, 8232, 8575, 8918, 9261, 9604, 9947, 10290, 10633, 10976, 11319, 11662, 12005, 12348, 12691, 13034, 13377, 13720, 14063, 14406, 14749, 15092, 15435, 15778, 16121, 16464, 16807, 17150, 17493, [...], 343

So the LCM for 7 and 343 is 343

Finding LCM for 7 and 343 by Prime Factorization

Another method to find LCM for numbers 7 and 343 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 7: 7 (exponent form: 71)

All Prime Factors of 343: 7, 7, 7 (exponent form: 73)

73 = 343

See Also

LCM Table

Number 1Number 2LCM
1343343
2343686
33431029
43431372
53431715
63432058
7343
83432744
93433087
103433430
113433773
123434116
133434459
14343686
153435145
163435488
173435831
183436174
193436517
203436860
213431029
223437546
233437889
243438232
253438575
263438918
273439261
283431372
293439947
3034310290

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 7 and 343? (The answer is: 343). Select the first number (e.g. '7') and the second number (e.g. '343'). After that hit the 'Calculate' button.
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

FAQ

What's the Least Common Multiple (LCM) of 7 and 343?

LCM of 7 and 343 is 343