Least Common Multiple of 712/72, 143/68, 220/98

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 712/72, 143/68, 220/98 quickly i.e. 254540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 712/72, 143/68, 220/98 is 254540.

LCM(712/72, 143/68, 220/98) = 254540

LCM of 712/72, 143/68, 220/98

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 712/72,143/68,220/98

Given numbers are 712/72,143/68,220/98

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 712,143,220

Least Common Multiple of Numerators i.e. LCM of 712,143,220 is 509080.

GCF of Denominators means GCF of 72,68,98 as per the given fractions.

GCF of 72,68,98 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 712,143,220

LCM of Fractions 712/72,143/68,220/98 is 254540

2 712, 143, 220
2 356, 143, 110
11 178, 143, 55
178, 13, 5

∴ So the LCM of the given numbers is 2 x 2 x 11 x 178 x 13 x 5 = 509080

Least Common Multiple of 712,143,220 with GCF Formula

Least Common Multiple of 712,143,220 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 712,143,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,143,220) = 1

common factors(in case of two or more numbers have common factors) = 44

GCF(712,143,220) x common factors =1 x 44 = 44

LCM(712,143,220) = ( 712 × 143 × 220 ) / 44

LCM(712,143,220) = 22399520 / 44

LCM(712,143,220) = 509080


Lets's calculate GCF of 72,68,98

2 72, 68, 98
36, 34, 49

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 509080/2

Therefore the LCM of Fractions 712/72,143/68,220/98 is 254540

Greatest Common Factor of 72,68,98 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,68,98 By Matching Biggest Common Factor Method

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 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Greatest Common Factor

We found the factors 72,68,98 . The biggest common factor number is the GCF number.
So the greatest common factor 72,68,98 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 712/72, 143/68, 220/98

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 712/72, 143/68, 220/98?

Answer: LCM of Numerators as per given numbers 712/72, 143/68, 220/98 is

LCM of Numerators i.e. for 712,143,220 is 509080

GCF of denominators i.e. for 72,68,98 is 2.

Thus, LCM of Fractions is 254540.Finally, LCM of Fractions for 712/72, 143/68, 220/98 is 254540.