LCM for 140 and 224

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 140 and 224?

Answer: LCM of 140 and 224 is 1,120

(One thousand, one hundred twenty)

Finding LCM for 140 and 224 using GCF's of these numbers

The first method to find LCM for numbers 140 and 224 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 140 and 224 is 28, so

LCM = (140 × 224) ÷ 28

LCM = 31360 ÷ 28

LCM = 1120

Finding LCM for 140 and 224 by Listing Multiples

The second method to find LCM for numbers 140 and 224 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 140: 140, 280, 420, 560, 700, 840, 980, 1120, 1260, 1400

Multiples of 224: 224, 448, 672, 896, 1120, 1344, 1568

So the LCM for 140 and 224 is 1120

Finding LCM for 140 and 224 by Prime Factorization

Another method to find LCM for numbers 140 and 224 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 140: 2, 2, 5, 7 (exponent form: 22, 51, 71)

All Prime Factors of 224: 2, 2, 2, 2, 2, 7 (exponent form: 25, 71)

25 × 51 × 71 = 1120

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LCM Table

Number 1Number 2LCM
12522428000
1262242016
12722428448
128224896
12922428896
13022414560
13122429344
1322247392
1332244256
13422415008
13522430240
1362243808
13722430688
13822415456
13922431136
1402241120
14122431584
14222415904
14322432032
1442242016
14522432480
14622416352
1472244704
1482248288
14922433376
15022416800
15122433824
1522244256
15322434272
1542242464

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 140 and 224? (The answer is: 1120). Select the first number (e.g. '140') and the second number (e.g. '224'). 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

"Least Common Multiple" Calculator

Least Common Multiple of

and

FAQ

What's the Least Common Multiple (LCM) of 140 and 224?

LCM of 140 and 224 is 1,120

See Also