Least Common Multiple of 40/88, 172/43, 410/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/88, 172/43, 410/904 quickly i.e. 70520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/88, 172/43, 410/904 is 70520.

LCM(40/88, 172/43, 410/904) = 70520

LCM of 40/88, 172/43, 410/904

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 40/88,172/43,410/904

Given numbers are 40/88,172/43,410/904

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 40,172,410

Least Common Multiple of Numerators i.e. LCM of 40,172,410 is 70520.

GCF of Denominators means GCF of 88,43,904 as per the given fractions.

GCF of 88,43,904 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,172,410

LCM of Fractions 40/88,172/43,410/904 is 70520

2 40, 172, 410
2 20, 86, 205
5 10, 43, 205
2, 43, 41

∴ So the LCM of the given numbers is 2 x 2 x 5 x 2 x 43 x 41 = 70520

Least Common Multiple of 40,172,410 with GCF Formula

Least Common Multiple of 40,172,410 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 40,172,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,172,410) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(40,172,410) x common factors =2 x 20 = 40

LCM(40,172,410) = ( 40 × 172 × 410 ) / 40

LCM(40,172,410) = 2820800 / 40

LCM(40,172,410) = 70520


Lets's calculate GCF of 88,43,904

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70520/1

Therefore the LCM of Fractions 40/88,172/43,410/904 is 70520

Greatest Common Factor of 88,43,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,43,904 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 88,43,904 . The biggest common factor number is the GCF number.
So the greatest common factor 88,43,904 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 40/88, 172/43, 410/904

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 40/88, 172/43, 410/904?

Answer: LCM of Numerators as per given numbers 40/88, 172/43, 410/904 is

LCM of Numerators i.e. for 40,172,410 is 70520

GCF of denominators i.e. for 88,43,904 is 1.

Thus, LCM of Fractions is 70520.Finally, LCM of Fractions for 40/88, 172/43, 410/904 is 70520.