Least Common Multiple of 614/73, 877/70, 115/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 614/73, 877/70, 115/989 quickly i.e. 61924970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 614/73, 877/70, 115/989 is 61924970.

LCM(614/73, 877/70, 115/989) = 61924970

LCM of 614/73, 877/70, 115/989

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 614/73,877/70,115/989

Given numbers are 614/73,877/70,115/989

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 614,877,115

Least Common Multiple of Numerators i.e. LCM of 614,877,115 is 61924970.

GCF of Denominators means GCF of 73,70,989 as per the given fractions.

GCF of 73,70,989 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 614,877,115

LCM of Fractions 614/73,877/70,115/989 is 61924970

Given numbers has no common factors except 1. So, there LCM is their product i.e 61924970

Least Common Multiple of 614,877,115 with GCF Formula

Least Common Multiple of 614,877,115 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 614,877,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,877,115) = 1

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

GCF(614,877,115) x common factors =1 x 1 = 1

LCM(614,877,115) = ( 614 × 877 × 115 ) / 1

LCM(614,877,115) = 61924970 / 1

LCM(614,877,115) = 61924970


Lets's calculate GCF of 73,70,989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61924970/1

Therefore the LCM of Fractions 614/73,877/70,115/989 is 61924970

Greatest Common Factor of 73,70,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,70,989 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Greatest Common Factor

We found the factors 73,70,989 . The biggest common factor number is the GCF number.
So the greatest common factor 73,70,989 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 614/73, 877/70, 115/989

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 614/73, 877/70, 115/989?

Answer: LCM of Numerators as per given numbers 614/73, 877/70, 115/989 is

LCM of Numerators i.e. for 614,877,115 is 61924970

GCF of denominators i.e. for 73,70,989 is 1.

Thus, LCM of Fractions is 61924970.Finally, LCM of Fractions for 614/73, 877/70, 115/989 is 61924970.