Least Common Multiple of 44/46, 70/32, 335/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/46, 70/32, 335/142 quickly i.e. 51590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/46, 70/32, 335/142 is 51590.

LCM(44/46, 70/32, 335/142) = 51590

LCM of 44/46, 70/32, 335/142

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 44/46,70/32,335/142

Given numbers are 44/46,70/32,335/142

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 44,70,335

Least Common Multiple of Numerators i.e. LCM of 44,70,335 is 103180.

GCF of Denominators means GCF of 46,32,142 as per the given fractions.

GCF of 46,32,142 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,70,335

LCM of Fractions 44/46,70/32,335/142 is 51590

2 44, 70, 335
5 22, 35, 335
22, 7, 67

∴ So the LCM of the given numbers is 2 x 5 x 22 x 7 x 67 = 103180

Least Common Multiple of 44,70,335 with GCF Formula

Least Common Multiple of 44,70,335 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 44,70,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,70,335) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(44,70,335) x common factors =1 x 10 = 10

LCM(44,70,335) = ( 44 × 70 × 335 ) / 10

LCM(44,70,335) = 1031800 / 10

LCM(44,70,335) = 103180


Lets's calculate GCF of 46,32,142

2 46, 32, 142
23, 16, 71

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103180/2

Therefore the LCM of Fractions 44/46,70/32,335/142 is 51590

Greatest Common Factor of 46,32,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,32,142 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 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 46,32,142 . The biggest common factor number is the GCF number.
So the greatest common factor 46,32,142 is 2.


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 44/46, 70/32, 335/142

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 44/46, 70/32, 335/142?

Answer: LCM of Numerators as per given numbers 44/46, 70/32, 335/142 is

LCM of Numerators i.e. for 44,70,335 is 103180

GCF of denominators i.e. for 46,32,142 is 2.

Thus, LCM of Fractions is 51590.Finally, LCM of Fractions for 44/46, 70/32, 335/142 is 51590.