Least Common Multiple of 490/15, 931/85, 132/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 490/15, 931/85, 132/405 quickly i.e. 122892 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 490/15, 931/85, 132/405 is 122892.

LCM(490/15, 931/85, 132/405) = 122892

LCM of 490/15, 931/85, 132/405

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 490/15,931/85,132/405

Given numbers are 490/15,931/85,132/405

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 490,931,132

Least Common Multiple of Numerators i.e. LCM of 490,931,132 is 614460.

GCF of Denominators means GCF of 15,85,405 as per the given fractions.

GCF of 15,85,405 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 490,931,132

LCM of Fractions 490/15,931/85,132/405 is 122892

2 490, 931, 132
7 245, 931, 66
7 35, 133, 66
5, 19, 66

∴ So the LCM of the given numbers is 2 x 7 x 7 x 5 x 19 x 66 = 614460

Least Common Multiple of 490,931,132 with GCF Formula

Least Common Multiple of 490,931,132 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 490,931,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,931,132) = 1

common factors(in case of two or more numbers have common factors) = 98

GCF(490,931,132) x common factors =1 x 98 = 98

LCM(490,931,132) = ( 490 × 931 × 132 ) / 98

LCM(490,931,132) = 60217080 / 98

LCM(490,931,132) = 614460


Lets's calculate GCF of 15,85,405

5 15, 85, 405
3, 17, 81

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 614460/5

Therefore the LCM of Fractions 490/15,931/85,132/405 is 122892

Greatest Common Factor of 15,85,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,85,405 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 85

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

1,5,17,85

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 15,85,405 . The biggest common factor number is the GCF number.
So the greatest common factor 15,85,405 is 5.


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 490/15, 931/85, 132/405

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 490/15, 931/85, 132/405?

Answer: LCM of Numerators as per given numbers 490/15, 931/85, 132/405 is

LCM of Numerators i.e. for 490,931,132 is 614460

GCF of denominators i.e. for 15,85,405 is 5.

Thus, LCM of Fractions is 122892.Finally, LCM of Fractions for 490/15, 931/85, 132/405 is 122892.