Least Common Multiple of 60/80, 972/55, 208/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/80, 972/55, 208/490 quickly i.e. 50544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/80, 972/55, 208/490 is 50544.

LCM(60/80, 972/55, 208/490) = 50544

LCM of 60/80, 972/55, 208/490

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 60/80,972/55,208/490

Given numbers are 60/80,972/55,208/490

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 60,972,208

Least Common Multiple of Numerators i.e. LCM of 60,972,208 is 252720.

GCF of Denominators means GCF of 80,55,490 as per the given fractions.

GCF of 80,55,490 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,972,208

LCM of Fractions 60/80,972/55,208/490 is 50544

2 60, 972, 208
2 30, 486, 104
3 15, 243, 52
5, 81, 52

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 81 x 52 = 252720

Least Common Multiple of 60,972,208 with GCF Formula

Least Common Multiple of 60,972,208 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 60,972,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,972,208) = 4

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

GCF(60,972,208) x common factors =4 x 12 = 48

LCM(60,972,208) = ( 60 × 972 × 208 ) / 48

LCM(60,972,208) = 12130560 / 48

LCM(60,972,208) = 252720


Lets's calculate GCF of 80,55,490

5 80, 55, 490
16, 11, 98

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 252720/5

Therefore the LCM of Fractions 60/80,972/55,208/490 is 50544

Greatest Common Factor of 80,55,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,55,490 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

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 80,55,490 . The biggest common factor number is the GCF number.
So the greatest common factor 80,55,490 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 60/80, 972/55, 208/490

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 60/80, 972/55, 208/490?

Answer: LCM of Numerators as per given numbers 60/80, 972/55, 208/490 is

LCM of Numerators i.e. for 60,972,208 is 252720

GCF of denominators i.e. for 80,55,490 is 5.

Thus, LCM of Fractions is 50544.Finally, LCM of Fractions for 60/80, 972/55, 208/490 is 50544.