Least Common Multiple of 43/382, 162/974, 950/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/382, 162/974, 950/240 quickly i.e. 1654425 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/382, 162/974, 950/240 is 1654425.

LCM(43/382, 162/974, 950/240) = 1654425

LCM of 43/382, 162/974, 950/240

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 43/382,162/974,950/240

Given numbers are 43/382,162/974,950/240

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 43,162,950

Least Common Multiple of Numerators i.e. LCM of 43,162,950 is 3308850.

GCF of Denominators means GCF of 382,974,240 as per the given fractions.

GCF of 382,974,240 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,162,950

LCM of Fractions 43/382,162/974,950/240 is 1654425

2 43, 162, 950
43, 81, 475

∴ So the LCM of the given numbers is 2 x 43 x 81 x 475 = 3308850

Least Common Multiple of 43,162,950 with GCF Formula

Least Common Multiple of 43,162,950 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 43,162,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,162,950) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(43,162,950) x common factors =1 x 2 = 2

LCM(43,162,950) = ( 43 × 162 × 950 ) / 2

LCM(43,162,950) = 6617700 / 2

LCM(43,162,950) = 3308850


Lets's calculate GCF of 382,974,240

2 382, 974, 240
191, 487, 120

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3308850/2

Therefore the LCM of Fractions 43/382,162/974,950/240 is 1654425

Greatest Common Factor of 382,974,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,974,240 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 382,974,240 . The biggest common factor number is the GCF number.
So the greatest common factor 382,974,240 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 43/382, 162/974, 950/240

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 43/382, 162/974, 950/240?

Answer: LCM of Numerators as per given numbers 43/382, 162/974, 950/240 is

LCM of Numerators i.e. for 43,162,950 is 3308850

GCF of denominators i.e. for 382,974,240 is 2.

Thus, LCM of Fractions is 1654425.Finally, LCM of Fractions for 43/382, 162/974, 950/240 is 1654425.