Least Common Multiple of 280/26, 700/7114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 280/26, 700/7114 quickly i.e. 700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 280/26, 700/7114 is 700.

LCM(280/26, 700/7114) = 700

LCM of 280/26, 700/7114

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 280/26,700/7114

Given numbers are 280/26,700/7114

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 280,700

Least Common Multiple of Numerators i.e. LCM of 280,700 is 1400.

GCF of Denominators means GCF of 26,7114 as per the given fractions.

GCF of 26,7114 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 280,700

LCM of Fractions 280/26,700/7114 is 700

2 280, 700
2 140, 350
5 70, 175
7 14, 35
2, 5

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 2 x 5 = 1400

Least Common Multiple of 280,700 with GCF Formula

Least Common Multiple of 280,700 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 280,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,700) = 140

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

GCF(280,700) x common factors =140 x 1 = 140

LCM(280,700) = ( 280 × 700 ) / 140

LCM(280,700) = 196000 / 140

LCM(280,700) = 1400


Lets's calculate GCF of 26,7114

2 26, 7114
13, 3557

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1400/2

Therefore the LCM of Fractions 280/26,700/7114 is 700

Greatest Common Factor of 26,7114 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,7114 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 7114

List of positive integer factors of 7114 that divides 7114 without a remainder.

1,2,3557,7114

Greatest Common Factor

We found the factors 26,7114 . The biggest common factor number is the GCF number.
So the greatest common factor 26,7114 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 280/26, 700/7114

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 280/26, 700/7114?

Answer: LCM of Numerators as per given numbers 280/26, 700/7114 is

LCM of Numerators i.e. for 280,700 is 1400

GCF of denominators i.e. for 26,7114 is 2.

Thus, LCM of Fractions is 700.Finally, LCM of Fractions for 280/26, 700/7114 is 700.