Least Common Multiple of 66/681, 70/122, 267/455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/681, 70/122, 267/455 quickly i.e. 205590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/681, 70/122, 267/455 is 205590.

LCM(66/681, 70/122, 267/455) = 205590

LCM of 66/681, 70/122, 267/455

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 66/681,70/122,267/455

Given numbers are 66/681,70/122,267/455

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 66,70,267

Least Common Multiple of Numerators i.e. LCM of 66,70,267 is 205590.

GCF of Denominators means GCF of 681,122,455 as per the given fractions.

GCF of 681,122,455 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,70,267

LCM of Fractions 66/681,70/122,267/455 is 205590

2 66, 70, 267
3 33, 35, 267
11, 35, 89

∴ So the LCM of the given numbers is 2 x 3 x 11 x 35 x 89 = 205590

Least Common Multiple of 66,70,267 with GCF Formula

Least Common Multiple of 66,70,267 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 66,70,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,70,267) = 1

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

GCF(66,70,267) x common factors =1 x 6 = 6

LCM(66,70,267) = ( 66 × 70 × 267 ) / 6

LCM(66,70,267) = 1233540 / 6

LCM(66,70,267) = 205590


Lets's calculate GCF of 681,122,455

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 205590/1

Therefore the LCM of Fractions 66/681,70/122,267/455 is 205590

Greatest Common Factor of 681,122,455 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,122,455 By Matching Biggest Common Factor Method

Factors of 681

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

1,3,227,681

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Greatest Common Factor

We found the factors 681,122,455 . The biggest common factor number is the GCF number.
So the greatest common factor 681,122,455 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 66/681, 70/122, 267/455

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 66/681, 70/122, 267/455?

Answer: LCM of Numerators as per given numbers 66/681, 70/122, 267/455 is

LCM of Numerators i.e. for 66,70,267 is 205590

GCF of denominators i.e. for 681,122,455 is 1.

Thus, LCM of Fractions is 205590.Finally, LCM of Fractions for 66/681, 70/122, 267/455 is 205590.