Least Common Multiple of 5898/988, 3624/2958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5898/988, 3624/2958 quickly i.e. 1781196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5898/988, 3624/2958 is 1781196.

LCM(5898/988, 3624/2958) = 1781196

LCM of 5898/988, 3624/2958

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 5898/988,3624/2958

Given numbers are 5898/988,3624/2958

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 5898,3624

Least Common Multiple of Numerators i.e. LCM of 5898,3624 is 3562392.

GCF of Denominators means GCF of 988,2958 as per the given fractions.

GCF of 988,2958 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5898,3624

LCM of Fractions 5898/988,3624/2958 is 1781196

2 5898, 3624
3 2949, 1812
983, 604

∴ So the LCM of the given numbers is 2 x 3 x 983 x 604 = 3562392

Least Common Multiple of 5898,3624 with GCF Formula

Least Common Multiple of 5898,3624 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 5898,3624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5898,3624) = 6

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

GCF(5898,3624) x common factors =6 x 1 = 6

LCM(5898,3624) = ( 5898 × 3624 ) / 6

LCM(5898,3624) = 21374352 / 6

LCM(5898,3624) = 3562392


Lets's calculate GCF of 988,2958

2 988, 2958
494, 1479

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3562392/2

Therefore the LCM of Fractions 5898/988,3624/2958 is 1781196

Greatest Common Factor of 988,2958 By Matching Biggest Common Factor Method

Greatest Common Factor of 988,2958 By Matching Biggest Common Factor Method

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Factors of 2958

List of positive integer factors of 2958 that divides 2958 without a remainder.

1,2,3,6,17,29,34,51,58,87,102,174,493,986,1479,2958

Greatest Common Factor

We found the factors 988,2958 . The biggest common factor number is the GCF number.
So the greatest common factor 988,2958 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 5898/988, 3624/2958

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 5898/988, 3624/2958?

Answer: LCM of Numerators as per given numbers 5898/988, 3624/2958 is

LCM of Numerators i.e. for 5898,3624 is 3562392

GCF of denominators i.e. for 988,2958 is 2.

Thus, LCM of Fractions is 1781196.Finally, LCM of Fractions for 5898/988, 3624/2958 is 1781196.