Least Common Multiple of 760/374, 6019/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 760/374, 6019/506 quickly i.e. 4574440/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 760/374, 6019/506 is 4574440/22.

LCM(760/374, 6019/506) = 4574440/22

LCM of 760/374, 6019/506

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 760/374,6019/506

Given numbers are 760/374,6019/506

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 760,6019

Least Common Multiple of Numerators i.e. LCM of 760,6019 is 4574440.

GCF of Denominators means GCF of 374,506 as per the given fractions.

GCF of 374,506 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 760,6019

LCM of Fractions 760/374,6019/506 is 4574440/22

Given numbers has no common factors except 1. So, there LCM is their product i.e 4574440

Least Common Multiple of 760,6019 with GCF Formula

Least Common Multiple of 760,6019 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 760,6019 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,6019) = 1

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

GCF(760,6019) x common factors =1 x 1 = 1

LCM(760,6019) = ( 760 × 6019 ) / 1

LCM(760,6019) = 4574440 / 1

LCM(760,6019) = 4574440


Lets's calculate GCF of 374,506

2 374, 506
11 187, 253
17, 23

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4574440/22

Therefore the LCM of Fractions 760/374,6019/506 is 4574440/22

Greatest Common Factor of 374,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,506 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 374,506 . The biggest common factor number is the GCF number.
So the greatest common factor 374,506 is 22.


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 760/374, 6019/506

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 760/374, 6019/506?

Answer: LCM of Numerators as per given numbers 760/374, 6019/506 is

LCM of Numerators i.e. for 760,6019 is 4574440

GCF of denominators i.e. for 374,506 is 22.

Thus, LCM of Fractions is 4574440/22.Finally, LCM of Fractions for 760/374, 6019/506 is 4574440/22.