Least Common Multiple of 98/986, 68/135, 368/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/986, 68/135, 368/178 quickly i.e. 306544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/986, 68/135, 368/178 is 306544.

LCM(98/986, 68/135, 368/178) = 306544

LCM of 98/986, 68/135, 368/178

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 98/986,68/135,368/178

Given numbers are 98/986,68/135,368/178

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 98,68,368

Least Common Multiple of Numerators i.e. LCM of 98,68,368 is 306544.

GCF of Denominators means GCF of 986,135,178 as per the given fractions.

GCF of 986,135,178 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,68,368

LCM of Fractions 98/986,68/135,368/178 is 306544

2 98, 68, 368
2 49, 34, 184
49, 17, 92

∴ So the LCM of the given numbers is 2 x 2 x 49 x 17 x 92 = 306544

Least Common Multiple of 98,68,368 with GCF Formula

Least Common Multiple of 98,68,368 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 98,68,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,68,368) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(98,68,368) x common factors =2 x 4 = 8

LCM(98,68,368) = ( 98 × 68 × 368 ) / 8

LCM(98,68,368) = 2452352 / 8

LCM(98,68,368) = 306544


Lets's calculate GCF of 986,135,178

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 306544/1

Therefore the LCM of Fractions 98/986,68/135,368/178 is 306544

Greatest Common Factor of 986,135,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 986,135,178 By Matching Biggest Common Factor Method

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

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

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Greatest Common Factor

We found the factors 986,135,178 . The biggest common factor number is the GCF number.
So the greatest common factor 986,135,178 is 1.


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 98/986, 68/135, 368/178

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 98/986, 68/135, 368/178?

Answer: LCM of Numerators as per given numbers 98/986, 68/135, 368/178 is

LCM of Numerators i.e. for 98,68,368 is 306544

GCF of denominators i.e. for 986,135,178 is 1.

Thus, LCM of Fractions is 306544.Finally, LCM of Fractions for 98/986, 68/135, 368/178 is 306544.