Least Common Multiple of 614/78, 897/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 614/78, 897/178 quickly i.e. 275379 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 614/78, 897/178 is 275379.

LCM(614/78, 897/178) = 275379

LCM of 614/78, 897/178

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 614/78,897/178

Given numbers are 614/78,897/178

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 614,897

Least Common Multiple of Numerators i.e. LCM of 614,897 is 550758.

GCF of Denominators means GCF of 78,178 as per the given fractions.

GCF of 78,178 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 614,897

LCM of Fractions 614/78,897/178 is 275379

Given numbers has no common factors except 1. So, there LCM is their product i.e 550758

Least Common Multiple of 614,897 with GCF Formula

Least Common Multiple of 614,897 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 614,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,897) = 1

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

GCF(614,897) x common factors =1 x 1 = 1

LCM(614,897) = ( 614 × 897 ) / 1

LCM(614,897) = 550758 / 1

LCM(614,897) = 550758


Lets's calculate GCF of 78,178

2 78, 178
39, 89

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 550758/2

Therefore the LCM of Fractions 614/78,897/178 is 275379

Greatest Common Factor of 78,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,178 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Greatest Common Factor

We found the factors 78,178 . The biggest common factor number is the GCF number.
So the greatest common factor 78,178 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 614/78, 897/178

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 614/78, 897/178?

Answer: LCM of Numerators as per given numbers 614/78, 897/178 is

LCM of Numerators i.e. for 614,897 is 550758

GCF of denominators i.e. for 78,178 is 2.

Thus, LCM of Fractions is 275379.Finally, LCM of Fractions for 614/78, 897/178 is 275379.