Least Common Multiple of 4420/413, 7497/3414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4420/413, 7497/3414 quickly i.e. 1949220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4420/413, 7497/3414 is 1949220.

LCM(4420/413, 7497/3414) = 1949220

LCM of 4420/413, 7497/3414

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 4420/413,7497/3414

Given numbers are 4420/413,7497/3414

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 4420,7497

Least Common Multiple of Numerators i.e. LCM of 4420,7497 is 1949220.

GCF of Denominators means GCF of 413,3414 as per the given fractions.

GCF of 413,3414 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4420,7497

LCM of Fractions 4420/413,7497/3414 is 1949220

17 4420, 7497
260, 441

∴ So the LCM of the given numbers is 17 x 260 x 441 = 1949220

Least Common Multiple of 4420,7497 with GCF Formula

Least Common Multiple of 4420,7497 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 4420,7497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4420,7497) = 17

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

GCF(4420,7497) x common factors =17 x 1 = 17

LCM(4420,7497) = ( 4420 × 7497 ) / 17

LCM(4420,7497) = 33136740 / 17

LCM(4420,7497) = 1949220


Lets's calculate GCF of 413,3414

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1949220/1

Therefore the LCM of Fractions 4420/413,7497/3414 is 1949220

Greatest Common Factor of 413,3414 By Matching Biggest Common Factor Method

Greatest Common Factor of 413,3414 By Matching Biggest Common Factor Method

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 3414

List of positive integer factors of 3414 that divides 3414 without a remainder.

1,2,3,6,569,1138,1707,3414

Greatest Common Factor

We found the factors 413,3414 . The biggest common factor number is the GCF number.
So the greatest common factor 413,3414 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4420/413, 7497/3414

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 4420/413, 7497/3414?

Answer: LCM of Numerators as per given numbers 4420/413, 7497/3414 is

LCM of Numerators i.e. for 4420,7497 is 1949220

GCF of denominators i.e. for 413,3414 is 1.

Thus, LCM of Fractions is 1949220.Finally, LCM of Fractions for 4420/413, 7497/3414 is 1949220.