Least Common Multiple of 2944/980, 4966/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2944/980, 4966/736 quickly i.e. 1827488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2944/980, 4966/736 is 1827488.

LCM(2944/980, 4966/736) = 1827488

LCM of 2944/980, 4966/736

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 2944/980,4966/736

Given numbers are 2944/980,4966/736

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 2944,4966

Least Common Multiple of Numerators i.e. LCM of 2944,4966 is 7309952.

GCF of Denominators means GCF of 980,736 as per the given fractions.

GCF of 980,736 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2944,4966

LCM of Fractions 2944/980,4966/736 is 1827488

2 2944, 4966
1472, 2483

∴ So the LCM of the given numbers is 2 x 1472 x 2483 = 7309952

Least Common Multiple of 2944,4966 with GCF Formula

Least Common Multiple of 2944,4966 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 2944,4966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2944,4966) = 2

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

GCF(2944,4966) x common factors =2 x 1 = 2

LCM(2944,4966) = ( 2944 × 4966 ) / 2

LCM(2944,4966) = 14619904 / 2

LCM(2944,4966) = 7309952


Lets's calculate GCF of 980,736

2 980, 736
2 490, 368
245, 184

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7309952/4

Therefore the LCM of Fractions 2944/980,4966/736 is 1827488

Greatest Common Factor of 980,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,736 By Matching Biggest Common Factor Method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 980,736 . The biggest common factor number is the GCF number.
So the greatest common factor 980,736 is 4.


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Frequently Asked Questions on Fractional LCM of 2944/980, 4966/736

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 2944/980, 4966/736?

Answer: LCM of Numerators as per given numbers 2944/980, 4966/736 is

LCM of Numerators i.e. for 2944,4966 is 7309952

GCF of denominators i.e. for 980,736 is 4.

Thus, LCM of Fractions is 1827488.Finally, LCM of Fractions for 2944/980, 4966/736 is 1827488.