Least Common Multiple of 78/101, 89/399, 990/681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/101, 89/399, 990/681 quickly i.e. 1145430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/101, 89/399, 990/681 is 1145430.

LCM(78/101, 89/399, 990/681) = 1145430

LCM of 78/101, 89/399, 990/681

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 78/101,89/399,990/681

Given numbers are 78/101,89/399,990/681

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 78,89,990

Least Common Multiple of Numerators i.e. LCM of 78,89,990 is 1145430.

GCF of Denominators means GCF of 101,399,681 as per the given fractions.

GCF of 101,399,681 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,89,990

LCM of Fractions 78/101,89/399,990/681 is 1145430

2 78, 89, 990
3 39, 89, 495
13, 89, 165

∴ So the LCM of the given numbers is 2 x 3 x 13 x 89 x 165 = 1145430

Least Common Multiple of 78,89,990 with GCF Formula

Least Common Multiple of 78,89,990 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 78,89,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,89,990) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(78,89,990) x common factors =1 x 6 = 6

LCM(78,89,990) = ( 78 × 89 × 990 ) / 6

LCM(78,89,990) = 6872580 / 6

LCM(78,89,990) = 1145430


Lets's calculate GCF of 101,399,681

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1145430/1

Therefore the LCM of Fractions 78/101,89/399,990/681 is 1145430

Greatest Common Factor of 101,399,681 By Matching Biggest Common Factor Method

Greatest Common Factor of 101,399,681 By Matching Biggest Common Factor Method

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Greatest Common Factor

We found the factors 101,399,681 . The biggest common factor number is the GCF number.
So the greatest common factor 101,399,681 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 78/101, 89/399, 990/681

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 78/101, 89/399, 990/681?

Answer: LCM of Numerators as per given numbers 78/101, 89/399, 990/681 is

LCM of Numerators i.e. for 78,89,990 is 1145430

GCF of denominators i.e. for 101,399,681 is 1.

Thus, LCM of Fractions is 1145430.Finally, LCM of Fractions for 78/101, 89/399, 990/681 is 1145430.