Least Common Multiple of 67/980, 960/878, 517/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/980, 960/878, 517/114 quickly i.e. 16626720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/980, 960/878, 517/114 is 16626720.

LCM(67/980, 960/878, 517/114) = 16626720

LCM of 67/980, 960/878, 517/114

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 67/980,960/878,517/114

Given numbers are 67/980,960/878,517/114

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 67,960,517

Least Common Multiple of Numerators i.e. LCM of 67,960,517 is 33253440.

GCF of Denominators means GCF of 980,878,114 as per the given fractions.

GCF of 980,878,114 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,960,517

LCM of Fractions 67/980,960/878,517/114 is 16626720

Given numbers has no common factors except 1. So, there LCM is their product i.e 33253440

Least Common Multiple of 67,960,517 with GCF Formula

Least Common Multiple of 67,960,517 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 67,960,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,960,517) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(67,960,517) x common factors =1 x 1 = 1

LCM(67,960,517) = ( 67 × 960 × 517 ) / 1

LCM(67,960,517) = 33253440 / 1

LCM(67,960,517) = 33253440


Lets's calculate GCF of 980,878,114

2 980, 878, 114
490, 439, 57

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33253440/2

Therefore the LCM of Fractions 67/980,960/878,517/114 is 16626720

Greatest Common Factor of 980,878,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,878,114 By Matching Biggest Common Factor Method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 980,878,114 . The biggest common factor number is the GCF number.
So the greatest common factor 980,878,114 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 67/980, 960/878, 517/114

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 67/980, 960/878, 517/114?

Answer: LCM of Numerators as per given numbers 67/980, 960/878, 517/114 is

LCM of Numerators i.e. for 67,960,517 is 33253440

GCF of denominators i.e. for 980,878,114 is 2.

Thus, LCM of Fractions is 16626720.Finally, LCM of Fractions for 67/980, 960/878, 517/114 is 16626720.