Least Common Multiple of 681/90, 904/52, 962/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 681/90, 904/52, 962/714 quickly i.e. 148057572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 681/90, 904/52, 962/714 is 148057572.

LCM(681/90, 904/52, 962/714) = 148057572

LCM of 681/90, 904/52, 962/714

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 681/90,904/52,962/714

Given numbers are 681/90,904/52,962/714

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 681,904,962

Least Common Multiple of Numerators i.e. LCM of 681,904,962 is 296115144.

GCF of Denominators means GCF of 90,52,714 as per the given fractions.

GCF of 90,52,714 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 681,904,962

LCM of Fractions 681/90,904/52,962/714 is 148057572

2 681, 904, 962
681, 452, 481

∴ So the LCM of the given numbers is 2 x 681 x 452 x 481 = 296115144

Least Common Multiple of 681,904,962 with GCF Formula

Least Common Multiple of 681,904,962 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 681,904,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(681,904,962) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(681,904,962) x common factors =1 x 2 = 2

LCM(681,904,962) = ( 681 × 904 × 962 ) / 2

LCM(681,904,962) = 592230288 / 2

LCM(681,904,962) = 296115144


Lets's calculate GCF of 90,52,714

2 90, 52, 714
45, 26, 357

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 296115144/2

Therefore the LCM of Fractions 681/90,904/52,962/714 is 148057572

Greatest Common Factor of 90,52,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,52,714 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 90,52,714 . The biggest common factor number is the GCF number.
So the greatest common factor 90,52,714 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 681/90, 904/52, 962/714

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 681/90, 904/52, 962/714?

Answer: LCM of Numerators as per given numbers 681/90, 904/52, 962/714 is

LCM of Numerators i.e. for 681,904,962 is 296115144

GCF of denominators i.e. for 90,52,714 is 2.

Thus, LCM of Fractions is 148057572.Finally, LCM of Fractions for 681/90, 904/52, 962/714 is 148057572.