Least Common Multiple of 68/890, 66/730, 373/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/890, 66/730, 373/508 quickly i.e. 418506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/890, 66/730, 373/508 is 418506.

LCM(68/890, 66/730, 373/508) = 418506

LCM of 68/890, 66/730, 373/508

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 68/890,66/730,373/508

Given numbers are 68/890,66/730,373/508

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 68,66,373

Least Common Multiple of Numerators i.e. LCM of 68,66,373 is 837012.

GCF of Denominators means GCF of 890,730,508 as per the given fractions.

GCF of 890,730,508 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,66,373

LCM of Fractions 68/890,66/730,373/508 is 418506

2 68, 66, 373
34, 33, 373

∴ So the LCM of the given numbers is 2 x 34 x 33 x 373 = 837012

Least Common Multiple of 68,66,373 with GCF Formula

Least Common Multiple of 68,66,373 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 68,66,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,66,373) = 1

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

GCF(68,66,373) x common factors =1 x 2 = 2

LCM(68,66,373) = ( 68 × 66 × 373 ) / 2

LCM(68,66,373) = 1674024 / 2

LCM(68,66,373) = 837012


Lets's calculate GCF of 890,730,508

2 890, 730, 508
445, 365, 254

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 837012/2

Therefore the LCM of Fractions 68/890,66/730,373/508 is 418506

Greatest Common Factor of 890,730,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 890,730,508 By Matching Biggest Common Factor Method

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors 890,730,508 . The biggest common factor number is the GCF number.
So the greatest common factor 890,730,508 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 68/890, 66/730, 373/508

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 68/890, 66/730, 373/508?

Answer: LCM of Numerators as per given numbers 68/890, 66/730, 373/508 is

LCM of Numerators i.e. for 68,66,373 is 837012

GCF of denominators i.e. for 890,730,508 is 2.

Thus, LCM of Fractions is 418506.Finally, LCM of Fractions for 68/890, 66/730, 373/508 is 418506.