Least Common Multiple of 983/315, 3772/4990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 983/315, 3772/4990 quickly i.e. 3707876/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 983/315, 3772/4990 is 3707876/5.

LCM(983/315, 3772/4990) = 3707876/5

LCM of 983/315, 3772/4990

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 983/315,3772/4990

Given numbers are 983/315,3772/4990

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 983,3772

Least Common Multiple of Numerators i.e. LCM of 983,3772 is 3707876.

GCF of Denominators means GCF of 315,4990 as per the given fractions.

GCF of 315,4990 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 983,3772

LCM of Fractions 983/315,3772/4990 is 3707876/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 3707876

Least Common Multiple of 983,3772 with GCF Formula

Least Common Multiple of 983,3772 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 983,3772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(983,3772) = 1

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

GCF(983,3772) x common factors =1 x 1 = 1

LCM(983,3772) = ( 983 × 3772 ) / 1

LCM(983,3772) = 3707876 / 1

LCM(983,3772) = 3707876


Lets's calculate GCF of 315,4990

5 315, 4990
63, 998

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3707876/5

Therefore the LCM of Fractions 983/315,3772/4990 is 3707876/5

Greatest Common Factor of 315,4990 By Matching Biggest Common Factor Method

Greatest Common Factor of 315,4990 By Matching Biggest Common Factor Method

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 4990

List of positive integer factors of 4990 that divides 4990 without a remainder.

1,2,5,10,499,998,2495,4990

Greatest Common Factor

We found the factors 315,4990 . The biggest common factor number is the GCF number.
So the greatest common factor 315,4990 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 983/315, 3772/4990

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 983/315, 3772/4990?

Answer: LCM of Numerators as per given numbers 983/315, 3772/4990 is

LCM of Numerators i.e. for 983,3772 is 3707876

GCF of denominators i.e. for 315,4990 is 5.

Thus, LCM of Fractions is 3707876/5.Finally, LCM of Fractions for 983/315, 3772/4990 is 3707876/5.