Least Common Multiple of 74/49, 61/22, 757/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/49, 61/22, 757/427 quickly i.e. 3417098 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/49, 61/22, 757/427 is 3417098.

LCM(74/49, 61/22, 757/427) = 3417098

LCM of 74/49, 61/22, 757/427

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 74/49,61/22,757/427

Given numbers are 74/49,61/22,757/427

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 74,61,757

Least Common Multiple of Numerators i.e. LCM of 74,61,757 is 3417098.

GCF of Denominators means GCF of 49,22,427 as per the given fractions.

GCF of 49,22,427 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,61,757

LCM of Fractions 74/49,61/22,757/427 is 3417098

Given numbers has no common factors except 1. So, there LCM is their product i.e 3417098

Least Common Multiple of 74,61,757 with GCF Formula

Least Common Multiple of 74,61,757 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 74,61,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,61,757) = 1

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

GCF(74,61,757) x common factors =1 x 1 = 1

LCM(74,61,757) = ( 74 × 61 × 757 ) / 1

LCM(74,61,757) = 3417098 / 1

LCM(74,61,757) = 3417098


Lets's calculate GCF of 49,22,427

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3417098/1

Therefore the LCM of Fractions 74/49,61/22,757/427 is 3417098

Greatest Common Factor of 49,22,427 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,22,427 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Greatest Common Factor

We found the factors 49,22,427 . The biggest common factor number is the GCF number.
So the greatest common factor 49,22,427 is 1.


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 74/49, 61/22, 757/427

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 74/49, 61/22, 757/427?

Answer: LCM of Numerators as per given numbers 74/49, 61/22, 757/427 is

LCM of Numerators i.e. for 74,61,757 is 3417098

GCF of denominators i.e. for 49,22,427 is 1.

Thus, LCM of Fractions is 3417098.Finally, LCM of Fractions for 74/49, 61/22, 757/427 is 3417098.