Least Common Multiple of 490/62, 180/94, 221/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 490/62, 180/94, 221/154 quickly i.e. 974610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 490/62, 180/94, 221/154 is 974610.

LCM(490/62, 180/94, 221/154) = 974610

LCM of 490/62, 180/94, 221/154

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 490/62,180/94,221/154

Given numbers are 490/62,180/94,221/154

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 490,180,221

Least Common Multiple of Numerators i.e. LCM of 490,180,221 is 1949220.

GCF of Denominators means GCF of 62,94,154 as per the given fractions.

GCF of 62,94,154 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 490,180,221

LCM of Fractions 490/62,180/94,221/154 is 974610

2 490, 180, 221
5 245, 90, 221
49, 18, 221

∴ So the LCM of the given numbers is 2 x 5 x 49 x 18 x 221 = 1949220

Least Common Multiple of 490,180,221 with GCF Formula

Least Common Multiple of 490,180,221 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 490,180,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,180,221) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(490,180,221) x common factors =1 x 10 = 10

LCM(490,180,221) = ( 490 × 180 × 221 ) / 10

LCM(490,180,221) = 19492200 / 10

LCM(490,180,221) = 1949220


Lets's calculate GCF of 62,94,154

2 62, 94, 154
31, 47, 77

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1949220/2

Therefore the LCM of Fractions 490/62,180/94,221/154 is 974610

Greatest Common Factor of 62,94,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,94,154 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 62,94,154 . The biggest common factor number is the GCF number.
So the greatest common factor 62,94,154 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 490/62, 180/94, 221/154

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 490/62, 180/94, 221/154?

Answer: LCM of Numerators as per given numbers 490/62, 180/94, 221/154 is

LCM of Numerators i.e. for 490,180,221 is 1949220

GCF of denominators i.e. for 62,94,154 is 2.

Thus, LCM of Fractions is 974610.Finally, LCM of Fractions for 490/62, 180/94, 221/154 is 974610.