Least Common Multiple of 1012/880, 2554/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1012/880, 2554/684 quickly i.e. 323081 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1012/880, 2554/684 is 323081.

LCM(1012/880, 2554/684) = 323081

LCM of 1012/880, 2554/684

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 1012/880,2554/684

Given numbers are 1012/880,2554/684

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 1012,2554

Least Common Multiple of Numerators i.e. LCM of 1012,2554 is 1292324.

GCF of Denominators means GCF of 880,684 as per the given fractions.

GCF of 880,684 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1012,2554

LCM of Fractions 1012/880,2554/684 is 323081

2 1012, 2554
506, 1277

∴ So the LCM of the given numbers is 2 x 506 x 1277 = 1292324

Least Common Multiple of 1012,2554 with GCF Formula

Least Common Multiple of 1012,2554 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 1012,2554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1012,2554) = 2

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

GCF(1012,2554) x common factors =2 x 1 = 2

LCM(1012,2554) = ( 1012 × 2554 ) / 2

LCM(1012,2554) = 2584648 / 2

LCM(1012,2554) = 1292324


Lets's calculate GCF of 880,684

2 880, 684
2 440, 342
220, 171

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1292324/4

Therefore the LCM of Fractions 1012/880,2554/684 is 323081

Greatest Common Factor of 880,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 880,684 By Matching Biggest Common Factor Method

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 880,684 . The biggest common factor number is the GCF number.
So the greatest common factor 880,684 is 4.


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 1012/880, 2554/684

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 1012/880, 2554/684?

Answer: LCM of Numerators as per given numbers 1012/880, 2554/684 is

LCM of Numerators i.e. for 1012,2554 is 1292324

GCF of denominators i.e. for 880,684 is 4.

Thus, LCM of Fractions is 323081.Finally, LCM of Fractions for 1012/880, 2554/684 is 323081.