Least Common Multiple of 2076/448, 7024/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2076/448, 7024/244 quickly i.e. 911364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2076/448, 7024/244 is 911364.

LCM(2076/448, 7024/244) = 911364

LCM of 2076/448, 7024/244

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 2076/448,7024/244

Given numbers are 2076/448,7024/244

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 2076,7024

Least Common Multiple of Numerators i.e. LCM of 2076,7024 is 3645456.

GCF of Denominators means GCF of 448,244 as per the given fractions.

GCF of 448,244 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2076,7024

LCM of Fractions 2076/448,7024/244 is 911364

2 2076, 7024
2 1038, 3512
519, 1756

∴ So the LCM of the given numbers is 2 x 2 x 519 x 1756 = 3645456

Least Common Multiple of 2076,7024 with GCF Formula

Least Common Multiple of 2076,7024 with GCF Formula

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 2076,7024 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2076,7024) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(2076,7024) x common factors =4 x 1 = 4

LCM(2076,7024) = ( 2076 × 7024 ) / 4

LCM(2076,7024) = 14581824 / 4

LCM(2076,7024) = 3645456


Lets's calculate GCF of 448,244

2 448, 244
2 224, 122
112, 61

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3645456/4

Therefore the LCM of Fractions 2076/448,7024/244 is 911364

Greatest Common Factor of 448,244 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,244 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Greatest Common Factor

We found the factors 448,244 . The biggest common factor number is the GCF number.
So the greatest common factor 448,244 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2076/448, 7024/244

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 2076/448, 7024/244?

Answer: LCM of Numerators as per given numbers 2076/448, 7024/244 is

LCM of Numerators i.e. for 2076,7024 is 3645456

GCF of denominators i.e. for 448,244 is 4.

Thus, LCM of Fractions is 911364.Finally, LCM of Fractions for 2076/448, 7024/244 is 911364.