Least Common Multiple of 403/67, 345/78, 975/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 403/67, 345/78, 975/148 quickly i.e. 695175 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 403/67, 345/78, 975/148 is 695175.

LCM(403/67, 345/78, 975/148) = 695175

LCM of 403/67, 345/78, 975/148

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 403/67,345/78,975/148

Given numbers are 403/67,345/78,975/148

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 403,345,975

Least Common Multiple of Numerators i.e. LCM of 403,345,975 is 695175.

GCF of Denominators means GCF of 67,78,148 as per the given fractions.

GCF of 67,78,148 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 403,345,975

LCM of Fractions 403/67,345/78,975/148 is 695175

3 403, 345, 975
5 403, 115, 325
13 403, 23, 65
31, 23, 5

∴ So the LCM of the given numbers is 3 x 5 x 13 x 31 x 23 x 5 = 695175

Least Common Multiple of 403,345,975 with GCF Formula

Least Common Multiple of 403,345,975 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 403,345,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(403,345,975) = 1

common factors(in case of two or more numbers have common factors) = 195

GCF(403,345,975) x common factors =1 x 195 = 195

LCM(403,345,975) = ( 403 × 345 × 975 ) / 195

LCM(403,345,975) = 135559125 / 195

LCM(403,345,975) = 695175


Lets's calculate GCF of 67,78,148

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 695175/1

Therefore the LCM of Fractions 403/67,345/78,975/148 is 695175

Greatest Common Factor of 67,78,148 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,78,148 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

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 67,78,148 . The biggest common factor number is the GCF number.
So the greatest common factor 67,78,148 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 403/67, 345/78, 975/148

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 403/67, 345/78, 975/148?

Answer: LCM of Numerators as per given numbers 403/67, 345/78, 975/148 is

LCM of Numerators i.e. for 403,345,975 is 695175

GCF of denominators i.e. for 67,78,148 is 1.

Thus, LCM of Fractions is 695175.Finally, LCM of Fractions for 403/67, 345/78, 975/148 is 695175.