Least Common Multiple of 280/670, 894/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 280/670, 894/100 quickly i.e. 12516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 280/670, 894/100 is 12516.

LCM(280/670, 894/100) = 12516

LCM of 280/670, 894/100

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 280/670,894/100

Given numbers are 280/670,894/100

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 280,894

Least Common Multiple of Numerators i.e. LCM of 280,894 is 125160.

GCF of Denominators means GCF of 670,100 as per the given fractions.

GCF of 670,100 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 280,894

LCM of Fractions 280/670,894/100 is 12516

2 280, 894
140, 447

∴ So the LCM of the given numbers is 2 x 140 x 447 = 125160

Least Common Multiple of 280,894 with GCF Formula

Least Common Multiple of 280,894 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 280,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,894) = 2

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

GCF(280,894) x common factors =2 x 1 = 2

LCM(280,894) = ( 280 × 894 ) / 2

LCM(280,894) = 250320 / 2

LCM(280,894) = 125160


Lets's calculate GCF of 670,100

2 670, 100
5 335, 50
67, 10

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 125160/10

Therefore the LCM of Fractions 280/670,894/100 is 12516

Greatest Common Factor of 670,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,100 By Matching Biggest Common Factor Method

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 670,100 . The biggest common factor number is the GCF number.
So the greatest common factor 670,100 is 10.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 280/670, 894/100

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 280/670, 894/100?

Answer: LCM of Numerators as per given numbers 280/670, 894/100 is

LCM of Numerators i.e. for 280,894 is 125160

GCF of denominators i.e. for 670,100 is 10.

Thus, LCM of Fractions is 12516.Finally, LCM of Fractions for 280/670, 894/100 is 12516.