Least Common Multiple of 492/67, 348/85, 105/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 492/67, 348/85, 105/987 quickly i.e. 499380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 492/67, 348/85, 105/987 is 499380.

LCM(492/67, 348/85, 105/987) = 499380

LCM of 492/67, 348/85, 105/987

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 492/67,348/85,105/987

Given numbers are 492/67,348/85,105/987

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 492,348,105

Least Common Multiple of Numerators i.e. LCM of 492,348,105 is 499380.

GCF of Denominators means GCF of 67,85,987 as per the given fractions.

GCF of 67,85,987 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 492,348,105

LCM of Fractions 492/67,348/85,105/987 is 499380

2 492, 348, 105
2 246, 174, 105
3 123, 87, 105
41, 29, 35

∴ So the LCM of the given numbers is 2 x 2 x 3 x 41 x 29 x 35 = 499380

Least Common Multiple of 492,348,105 with GCF Formula

Least Common Multiple of 492,348,105 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 492,348,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,348,105) = 3

common factors(in case of two or more numbers have common factors) = 12

GCF(492,348,105) x common factors =3 x 12 = 36

LCM(492,348,105) = ( 492 × 348 × 105 ) / 36

LCM(492,348,105) = 17977680 / 36

LCM(492,348,105) = 499380


Lets's calculate GCF of 67,85,987

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 499380/1

Therefore the LCM of Fractions 492/67,348/85,105/987 is 499380

Greatest Common Factor of 67,85,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,85,987 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 67,85,987 . The biggest common factor number is the GCF number.
So the greatest common factor 67,85,987 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 492/67, 348/85, 105/987

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 492/67, 348/85, 105/987?

Answer: LCM of Numerators as per given numbers 492/67, 348/85, 105/987 is

LCM of Numerators i.e. for 492,348,105 is 499380

GCF of denominators i.e. for 67,85,987 is 1.

Thus, LCM of Fractions is 499380.Finally, LCM of Fractions for 492/67, 348/85, 105/987 is 499380.