Least Common Multiple of 451/974, 382/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 451/974, 382/672 quickly i.e. 86141 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 451/974, 382/672 is 86141.

LCM(451/974, 382/672) = 86141

LCM of 451/974, 382/672

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 451/974,382/672

Given numbers are 451/974,382/672

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 451,382

Least Common Multiple of Numerators i.e. LCM of 451,382 is 172282.

GCF of Denominators means GCF of 974,672 as per the given fractions.

GCF of 974,672 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 451,382

LCM of Fractions 451/974,382/672 is 86141

Given numbers has no common factors except 1. So, there LCM is their product i.e 172282

Least Common Multiple of 451,382 with GCF Formula

Least Common Multiple of 451,382 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 451,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(451,382) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(451,382) x common factors =1 x 1 = 1

LCM(451,382) = ( 451 × 382 ) / 1

LCM(451,382) = 172282 / 1

LCM(451,382) = 172282


Lets's calculate GCF of 974,672

2 974, 672
487, 336

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 172282/2

Therefore the LCM of Fractions 451/974,382/672 is 86141

Greatest Common Factor of 974,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 974,672 By Matching Biggest Common Factor Method

Factors of 974

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

1,2,487,974

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 974,672 . The biggest common factor number is the GCF number.
So the greatest common factor 974,672 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 451/974, 382/672

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 451/974, 382/672?

Answer: LCM of Numerators as per given numbers 451/974, 382/672 is

LCM of Numerators i.e. for 451,382 is 172282

GCF of denominators i.e. for 974,672 is 2.

Thus, LCM of Fractions is 86141.Finally, LCM of Fractions for 451/974, 382/672 is 86141.