Least Common Multiple of 1347/58, 4624/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1347/58, 4624/986 quickly i.e. 6228528/58 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1347/58, 4624/986 is 6228528/58.

LCM(1347/58, 4624/986) = 6228528/58

LCM of 1347/58, 4624/986

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 1347/58,4624/986

Given numbers are 1347/58,4624/986

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 1347,4624

Least Common Multiple of Numerators i.e. LCM of 1347,4624 is 6228528.

GCF of Denominators means GCF of 58,986 as per the given fractions.

GCF of 58,986 is 58 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1347,4624

LCM of Fractions 1347/58,4624/986 is 6228528/58

Given numbers has no common factors except 1. So, there LCM is their product i.e 6228528

Least Common Multiple of 1347,4624 with GCF Formula

Least Common Multiple of 1347,4624 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 1347,4624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1347,4624) = 1

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

GCF(1347,4624) x common factors =1 x 1 = 1

LCM(1347,4624) = ( 1347 × 4624 ) / 1

LCM(1347,4624) = 6228528 / 1

LCM(1347,4624) = 6228528


Lets's calculate GCF of 58,986

2 58, 986
29 29, 493
1, 17

∴ So the GCF of the given numbers is 2 x 29 = 58

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6228528/58

Therefore the LCM of Fractions 1347/58,4624/986 is 6228528/58

Greatest Common Factor of 58,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,986 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 58,986 . The biggest common factor number is the GCF number.
So the greatest common factor 58,986 is 58.


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 1347/58, 4624/986

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 1347/58, 4624/986?

Answer: LCM of Numerators as per given numbers 1347/58, 4624/986 is

LCM of Numerators i.e. for 1347,4624 is 6228528

GCF of denominators i.e. for 58,986 is 58.

Thus, LCM of Fractions is 6228528/58.Finally, LCM of Fractions for 1347/58, 4624/986 is 6228528/58.