Least Common Multiple of 436/18, 454/74, 644/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 436/18, 454/74, 644/974 quickly i.e. 7967246 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 436/18, 454/74, 644/974 is 7967246.

LCM(436/18, 454/74, 644/974) = 7967246

LCM of 436/18, 454/74, 644/974

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 436/18,454/74,644/974

Given numbers are 436/18,454/74,644/974

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 436,454,644

Least Common Multiple of Numerators i.e. LCM of 436,454,644 is 15934492.

GCF of Denominators means GCF of 18,74,974 as per the given fractions.

GCF of 18,74,974 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 436,454,644

LCM of Fractions 436/18,454/74,644/974 is 7967246

2 436, 454, 644
2 218, 227, 322
109, 227, 161

∴ So the LCM of the given numbers is 2 x 2 x 109 x 227 x 161 = 15934492

Least Common Multiple of 436,454,644 with GCF Formula

Least Common Multiple of 436,454,644 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 436,454,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(436,454,644) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(436,454,644) x common factors =2 x 4 = 8

LCM(436,454,644) = ( 436 × 454 × 644 ) / 8

LCM(436,454,644) = 127475936 / 8

LCM(436,454,644) = 15934492


Lets's calculate GCF of 18,74,974

2 18, 74, 974
9, 37, 487

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15934492/2

Therefore the LCM of Fractions 436/18,454/74,644/974 is 7967246

Greatest Common Factor of 18,74,974 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,74,974 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 974

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

1,2,487,974

Greatest Common Factor

We found the factors 18,74,974 . The biggest common factor number is the GCF number.
So the greatest common factor 18,74,974 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 436/18, 454/74, 644/974

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 436/18, 454/74, 644/974?

Answer: LCM of Numerators as per given numbers 436/18, 454/74, 644/974 is

LCM of Numerators i.e. for 436,454,644 is 15934492

GCF of denominators i.e. for 18,74,974 is 2.

Thus, LCM of Fractions is 7967246.Finally, LCM of Fractions for 436/18, 454/74, 644/974 is 7967246.