Least Common Multiple of 867/74, 578/1953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 867/74, 578/1953 quickly i.e. 1734 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 867/74, 578/1953 is 1734.

LCM(867/74, 578/1953) = 1734

LCM of 867/74, 578/1953

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 867/74,578/1953

Given numbers are 867/74,578/1953

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 867,578

Least Common Multiple of Numerators i.e. LCM of 867,578 is 1734.

GCF of Denominators means GCF of 74,1953 as per the given fractions.

GCF of 74,1953 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 867,578

LCM of Fractions 867/74,578/1953 is 1734

17 867, 578
17 51, 34
3, 2

∴ So the LCM of the given numbers is 17 x 17 x 3 x 2 = 1734

Least Common Multiple of 867,578 with GCF Formula

Least Common Multiple of 867,578 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 867,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,578) = 289

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

GCF(867,578) x common factors =289 x 1 = 289

LCM(867,578) = ( 867 × 578 ) / 289

LCM(867,578) = 501126 / 289

LCM(867,578) = 1734


Lets's calculate GCF of 74,1953

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1734/1

Therefore the LCM of Fractions 867/74,578/1953 is 1734

Greatest Common Factor of 74,1953 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,1953 By Matching Biggest Common Factor Method

Factors of 74

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

1,2,37,74

Factors of 1953

List of positive integer factors of 1953 that divides 1953 without a remainder.

1,3,7,9,21,31,63,93,217,279,651,1953

Greatest Common Factor

We found the factors 74,1953 . The biggest common factor number is the GCF number.
So the greatest common factor 74,1953 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 867/74, 578/1953

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 867/74, 578/1953?

Answer: LCM of Numerators as per given numbers 867/74, 578/1953 is

LCM of Numerators i.e. for 867,578 is 1734

GCF of denominators i.e. for 74,1953 is 1.

Thus, LCM of Fractions is 1734.Finally, LCM of Fractions for 867/74, 578/1953 is 1734.