Least Common Multiple of 49/46, 405/15, 735/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/46, 405/15, 735/974 quickly i.e. 19845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/46, 405/15, 735/974 is 19845.

LCM(49/46, 405/15, 735/974) = 19845

LCM of 49/46, 405/15, 735/974

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 49/46,405/15,735/974

Given numbers are 49/46,405/15,735/974

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 49,405,735

Least Common Multiple of Numerators i.e. LCM of 49,405,735 is 19845.

GCF of Denominators means GCF of 46,15,974 as per the given fractions.

GCF of 46,15,974 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,405,735

LCM of Fractions 49/46,405/15,735/974 is 19845

3 49, 405, 735
5 49, 135, 245
7 49, 27, 49
7 7, 27, 7
1, 27, 1

∴ So the LCM of the given numbers is 3 x 5 x 7 x 7 x 1 x 27 x 1 = 19845

Least Common Multiple of 49,405,735 with GCF Formula

Least Common Multiple of 49,405,735 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 49,405,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,405,735) = 1

common factors(in case of two or more numbers have common factors) = 735

GCF(49,405,735) x common factors =1 x 735 = 735

LCM(49,405,735) = ( 49 × 405 × 735 ) / 735

LCM(49,405,735) = 14586075 / 735

LCM(49,405,735) = 19845


Lets's calculate GCF of 46,15,974

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19845/1

Therefore the LCM of Fractions 49/46,405/15,735/974 is 19845

Greatest Common Factor of 46,15,974 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,15,974 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Greatest Common Factor

We found the factors 46,15,974 . The biggest common factor number is the GCF number.
So the greatest common factor 46,15,974 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 49/46, 405/15, 735/974

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 49/46, 405/15, 735/974?

Answer: LCM of Numerators as per given numbers 49/46, 405/15, 735/974 is

LCM of Numerators i.e. for 49,405,735 is 19845

GCF of denominators i.e. for 46,15,974 is 1.

Thus, LCM of Fractions is 19845.Finally, LCM of Fractions for 49/46, 405/15, 735/974 is 19845.