Least Common Multiple of 747/94, 4871/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 747/94, 4871/980 quickly i.e. 3638637/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 747/94, 4871/980 is 3638637/2.

LCM(747/94, 4871/980) = 3638637/2

LCM of 747/94, 4871/980

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 747/94,4871/980

Given numbers are 747/94,4871/980

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 747,4871

Least Common Multiple of Numerators i.e. LCM of 747,4871 is 3638637.

GCF of Denominators means GCF of 94,980 as per the given fractions.

GCF of 94,980 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 747,4871

LCM of Fractions 747/94,4871/980 is 3638637/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 3638637

Least Common Multiple of 747,4871 with GCF Formula

Least Common Multiple of 747,4871 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 747,4871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,4871) = 1

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

GCF(747,4871) x common factors =1 x 1 = 1

LCM(747,4871) = ( 747 × 4871 ) / 1

LCM(747,4871) = 3638637 / 1

LCM(747,4871) = 3638637


Lets's calculate GCF of 94,980

2 94, 980
47, 490

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3638637/2

Therefore the LCM of Fractions 747/94,4871/980 is 3638637/2

Greatest Common Factor of 94,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,980 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

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

Greatest Common Factor

We found the factors 94,980 . The biggest common factor number is the GCF number.
So the greatest common factor 94,980 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 747/94, 4871/980

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 747/94, 4871/980?

Answer: LCM of Numerators as per given numbers 747/94, 4871/980 is

LCM of Numerators i.e. for 747,4871 is 3638637

GCF of denominators i.e. for 94,980 is 2.

Thus, LCM of Fractions is 3638637/2.Finally, LCM of Fractions for 747/94, 4871/980 is 3638637/2.