Least Common Multiple of 49/35, 30/40, 48/75, 38/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/35, 30/40, 48/75, 38/952 quickly i.e. 223440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/35, 30/40, 48/75, 38/952 is 223440.

LCM(49/35, 30/40, 48/75, 38/952) = 223440

LCM of 49/35, 30/40, 48/75, 38/952

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 49/35,30/40,48/75,38/952

Given numbers are 49/35,30/40,48/75,38/952

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 49,30,48,38

Least Common Multiple of Numerators i.e. LCM of 49,30,48,38 is 223440.

GCF of Denominators means GCF of 35,40,75,952 as per the given fractions.

GCF of 35,40,75,952 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,30,48,38

LCM of Fractions 49/35,30/40,48/75,38/952 is 223440

2 49, 30, 48, 38
3 49, 15, 24, 19
49, 5, 8, 19

∴ So the LCM of the given numbers is 2 x 3 x 49 x 5 x 8 x 19 = 223440

Least Common Multiple of 49,30,48,38 with GCF Formula

Least Common Multiple of 49,30,48,38 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 49,30,48,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,30,48,38) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(49,30,48,38) x common factors =1 x 12 = 12

LCM(49,30,48,38) = ( 49 × 30 × 48 × 38 ) / 12

LCM(49,30,48,38) = 2681280 / 12

LCM(49,30,48,38) = 223440


Lets's calculate GCF of 35,40,75,952

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 223440/1

Therefore the LCM of Fractions 49/35,30/40,48/75,38/952 is 223440

Greatest Common Factor of 35,40,75,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,40,75,952 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Greatest Common Factor

We found the factors 35,40,75,952 . The biggest common factor number is the GCF number.
So the greatest common factor 35,40,75,952 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 49/35, 30/40, 48/75, 38/952

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 49/35, 30/40, 48/75, 38/952?

Answer: LCM of Numerators as per given numbers 49/35, 30/40, 48/75, 38/952 is

LCM of Numerators i.e. for 49,30,48,38 is 223440

GCF of denominators i.e. for 35,40,75,952 is 1.

Thus, LCM of Fractions is 223440.Finally, LCM of Fractions for 49/35, 30/40, 48/75, 38/952 is 223440.