Least Common Multiple of 74/867, 730/344, 140/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/867, 730/344, 140/454 quickly i.e. 378140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/867, 730/344, 140/454 is 378140.

LCM(74/867, 730/344, 140/454) = 378140

LCM of 74/867, 730/344, 140/454

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 74/867,730/344,140/454

Given numbers are 74/867,730/344,140/454

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 74,730,140

Least Common Multiple of Numerators i.e. LCM of 74,730,140 is 378140.

GCF of Denominators means GCF of 867,344,454 as per the given fractions.

GCF of 867,344,454 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,730,140

LCM of Fractions 74/867,730/344,140/454 is 378140

2 74, 730, 140
5 37, 365, 70
37, 73, 14

∴ So the LCM of the given numbers is 2 x 5 x 37 x 73 x 14 = 378140

Least Common Multiple of 74,730,140 with GCF Formula

Least Common Multiple of 74,730,140 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 74,730,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,730,140) = 2

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

GCF(74,730,140) x common factors =2 x 10 = 20

LCM(74,730,140) = ( 74 × 730 × 140 ) / 20

LCM(74,730,140) = 7562800 / 20

LCM(74,730,140) = 378140


Lets's calculate GCF of 867,344,454

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 378140/1

Therefore the LCM of Fractions 74/867,730/344,140/454 is 378140

Greatest Common Factor of 867,344,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,344,454 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Greatest Common Factor

We found the factors 867,344,454 . The biggest common factor number is the GCF number.
So the greatest common factor 867,344,454 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 74/867, 730/344, 140/454

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 74/867, 730/344, 140/454?

Answer: LCM of Numerators as per given numbers 74/867, 730/344, 140/454 is

LCM of Numerators i.e. for 74,730,140 is 378140

GCF of denominators i.e. for 867,344,454 is 1.

Thus, LCM of Fractions is 378140.Finally, LCM of Fractions for 74/867, 730/344, 140/454 is 378140.