Least Common Multiple of 45/84, 246/72, 140/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/84, 246/72, 140/490 quickly i.e. 25830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/84, 246/72, 140/490 is 25830.

LCM(45/84, 246/72, 140/490) = 25830

LCM of 45/84, 246/72, 140/490

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 45/84,246/72,140/490

Given numbers are 45/84,246/72,140/490

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 45,246,140

Least Common Multiple of Numerators i.e. LCM of 45,246,140 is 51660.

GCF of Denominators means GCF of 84,72,490 as per the given fractions.

GCF of 84,72,490 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,246,140

LCM of Fractions 45/84,246/72,140/490 is 25830

2 45, 246, 140
3 45, 123, 70
5 15, 41, 70
3, 41, 14

∴ So the LCM of the given numbers is 2 x 3 x 5 x 3 x 41 x 14 = 51660

Least Common Multiple of 45,246,140 with GCF Formula

Least Common Multiple of 45,246,140 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 45,246,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,246,140) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(45,246,140) x common factors =1 x 30 = 30

LCM(45,246,140) = ( 45 × 246 × 140 ) / 30

LCM(45,246,140) = 1549800 / 30

LCM(45,246,140) = 51660


Lets's calculate GCF of 84,72,490

2 84, 72, 490
42, 36, 245

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51660/2

Therefore the LCM of Fractions 45/84,246/72,140/490 is 25830

Greatest Common Factor of 84,72,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,72,490 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 84,72,490 . The biggest common factor number is the GCF number.
So the greatest common factor 84,72,490 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 45/84, 246/72, 140/490

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 45/84, 246/72, 140/490?

Answer: LCM of Numerators as per given numbers 45/84, 246/72, 140/490 is

LCM of Numerators i.e. for 45,246,140 is 51660

GCF of denominators i.e. for 84,72,490 is 2.

Thus, LCM of Fractions is 25830.Finally, LCM of Fractions for 45/84, 246/72, 140/490 is 25830.