Least Common Multiple of 140/66, 309/92, 922/61

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 140/66, 309/92, 922/61 quickly i.e. 19942860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 140/66, 309/92, 922/61 is 19942860.

LCM(140/66, 309/92, 922/61) = 19942860

LCM of 140/66, 309/92, 922/61

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 140/66,309/92,922/61

Given numbers are 140/66,309/92,922/61

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 140,309,922

Least Common Multiple of Numerators i.e. LCM of 140,309,922 is 19942860.

GCF of Denominators means GCF of 66,92,61 as per the given fractions.

GCF of 66,92,61 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 140,309,922

LCM of Fractions 140/66,309/92,922/61 is 19942860

2 140, 309, 922
70, 309, 461

∴ So the LCM of the given numbers is 2 x 70 x 309 x 461 = 19942860

Least Common Multiple of 140,309,922 with GCF Formula

Least Common Multiple of 140,309,922 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 140,309,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,309,922) = 1

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

GCF(140,309,922) x common factors =1 x 2 = 2

LCM(140,309,922) = ( 140 × 309 × 922 ) / 2

LCM(140,309,922) = 39885720 / 2

LCM(140,309,922) = 19942860


Lets's calculate GCF of 66,92,61

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19942860/1

Therefore the LCM of Fractions 140/66,309/92,922/61 is 19942860

Greatest Common Factor of 66,92,61 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,92,61 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Greatest Common Factor

We found the factors 66,92,61 . The biggest common factor number is the GCF number.
So the greatest common factor 66,92,61 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 140/66, 309/92, 922/61

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 140/66, 309/92, 922/61?

Answer: LCM of Numerators as per given numbers 140/66, 309/92, 922/61 is

LCM of Numerators i.e. for 140,309,922 is 19942860

GCF of denominators i.e. for 66,92,61 is 1.

Thus, LCM of Fractions is 19942860.Finally, LCM of Fractions for 140/66, 309/92, 922/61 is 19942860.