Least Common Multiple of 416/38, 143/45, 975/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 416/38, 143/45, 975/464 quickly i.e. 343200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 416/38, 143/45, 975/464 is 343200.

LCM(416/38, 143/45, 975/464) = 343200

LCM of 416/38, 143/45, 975/464

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 416/38,143/45,975/464

Given numbers are 416/38,143/45,975/464

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 416,143,975

Least Common Multiple of Numerators i.e. LCM of 416,143,975 is 343200.

GCF of Denominators means GCF of 38,45,464 as per the given fractions.

GCF of 38,45,464 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 416,143,975

LCM of Fractions 416/38,143/45,975/464 is 343200

13 416, 143, 975
32, 11, 75

∴ So the LCM of the given numbers is 13 x 32 x 11 x 75 = 343200

Least Common Multiple of 416,143,975 with GCF Formula

Least Common Multiple of 416,143,975 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 416,143,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,143,975) = 13

common factors(in case of two or more numbers have common factors) = 13

GCF(416,143,975) x common factors =13 x 13 = 169

LCM(416,143,975) = ( 416 × 143 × 975 ) / 169

LCM(416,143,975) = 58000800 / 169

LCM(416,143,975) = 343200


Lets's calculate GCF of 38,45,464

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 343200/1

Therefore the LCM of Fractions 416/38,143/45,975/464 is 343200

Greatest Common Factor of 38,45,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,45,464 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 38,45,464 . The biggest common factor number is the GCF number.
So the greatest common factor 38,45,464 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 416/38, 143/45, 975/464

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 416/38, 143/45, 975/464?

Answer: LCM of Numerators as per given numbers 416/38, 143/45, 975/464 is

LCM of Numerators i.e. for 416,143,975 is 343200

GCF of denominators i.e. for 38,45,464 is 1.

Thus, LCM of Fractions is 343200.Finally, LCM of Fractions for 416/38, 143/45, 975/464 is 343200.