Least Common Multiple of 7/40, 3/68, 9/40, 30/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/40, 3/68, 9/40, 30/148 quickly i.e. 630/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/40, 3/68, 9/40, 30/148 is 630/4.

LCM(7/40, 3/68, 9/40, 30/148) = 630/4

LCM of 7/40, 3/68, 9/40, 30/148

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 7/40,3/68,9/40,30/148

Given numbers are 7/40,3/68,9/40,30/148

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 7,3,9,30

Least Common Multiple of Numerators i.e. LCM of 7,3,9,30 is 630.

GCF of Denominators means GCF of 40,68,40,148 as per the given fractions.

GCF of 40,68,40,148 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,3,9,30

LCM of Fractions 7/40,3/68,9/40,30/148 is 630/4

3 7, 3, 9, 30
7, 1, 3, 10

∴ So the LCM of the given numbers is 3 x 7 x 1 x 3 x 10 = 630

Least Common Multiple of 7,3,9,30 with GCF Formula

Least Common Multiple of 7,3,9,30 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 7,3,9,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,3,9,30) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(7,3,9,30) x common factors =1 x 9 = 9

LCM(7,3,9,30) = ( 7 × 3 × 9 × 30 ) / 9

LCM(7,3,9,30) = 5670 / 9

LCM(7,3,9,30) = 630


Lets's calculate GCF of 40,68,40,148

2 40, 68, 40, 148
2 20, 34, 20, 74
10, 17, 10, 37

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 630/4

Therefore the LCM of Fractions 7/40,3/68,9/40,30/148 is 630/4

Greatest Common Factor of 40,68,40,148 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,68,40,148 By Matching Biggest Common Factor Method

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 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

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 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Greatest Common Factor

We found the factors 40,68,40,148 . The biggest common factor number is the GCF number.
So the greatest common factor 40,68,40,148 is 4.


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 7/40, 3/68, 9/40, 30/148

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 7/40, 3/68, 9/40, 30/148?

Answer: LCM of Numerators as per given numbers 7/40, 3/68, 9/40, 30/148 is

LCM of Numerators i.e. for 7,3,9,30 is 630

GCF of denominators i.e. for 40,68,40,148 is 4.

Thus, LCM of Fractions is 630/4.Finally, LCM of Fractions for 7/40, 3/68, 9/40, 30/148 is 630/4.