Least Common Multiple of 4298/137, 1567/3744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4298/137, 1567/3744 quickly i.e. 6734966 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4298/137, 1567/3744 is 6734966.

LCM(4298/137, 1567/3744) = 6734966

LCM of 4298/137, 1567/3744

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 4298/137,1567/3744

Given numbers are 4298/137,1567/3744

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 4298,1567

Least Common Multiple of Numerators i.e. LCM of 4298,1567 is 6734966.

GCF of Denominators means GCF of 137,3744 as per the given fractions.

GCF of 137,3744 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4298,1567

LCM of Fractions 4298/137,1567/3744 is 6734966

Given numbers has no common factors except 1. So, there LCM is their product i.e 6734966

Least Common Multiple of 4298,1567 with GCF Formula

Least Common Multiple of 4298,1567 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 4298,1567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4298,1567) = 1

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

GCF(4298,1567) x common factors =1 x 1 = 1

LCM(4298,1567) = ( 4298 × 1567 ) / 1

LCM(4298,1567) = 6734966 / 1

LCM(4298,1567) = 6734966


Lets's calculate GCF of 137,3744

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6734966/1

Therefore the LCM of Fractions 4298/137,1567/3744 is 6734966

Greatest Common Factor of 137,3744 By Matching Biggest Common Factor Method

Greatest Common Factor of 137,3744 By Matching Biggest Common Factor Method

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Factors of 3744

List of positive integer factors of 3744 that divides 3744 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,32,36,39,48,52,72,78,96,104,117,144,156,208,234,288,312,416,468,624,936,1248,1872,3744

Greatest Common Factor

We found the factors 137,3744 . The biggest common factor number is the GCF number.
So the greatest common factor 137,3744 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4298/137, 1567/3744

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 4298/137, 1567/3744?

Answer: LCM of Numerators as per given numbers 4298/137, 1567/3744 is

LCM of Numerators i.e. for 4298,1567 is 6734966

GCF of denominators i.e. for 137,3744 is 1.

Thus, LCM of Fractions is 6734966.Finally, LCM of Fractions for 4298/137, 1567/3744 is 6734966.