Least Common Multiple of 2501/700, 5000/931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2501/700, 5000/931 quickly i.e. 12505000/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2501/700, 5000/931 is 12505000/7.

LCM(2501/700, 5000/931) = 12505000/7

LCM of 2501/700, 5000/931

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 2501/700,5000/931

Given numbers are 2501/700,5000/931

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 2501,5000

Least Common Multiple of Numerators i.e. LCM of 2501,5000 is 12505000.

GCF of Denominators means GCF of 700,931 as per the given fractions.

GCF of 700,931 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2501,5000

LCM of Fractions 2501/700,5000/931 is 12505000/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 12505000

Least Common Multiple of 2501,5000 with GCF Formula

Least Common Multiple of 2501,5000 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 2501,5000 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2501,5000) = 1

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

GCF(2501,5000) x common factors =1 x 1 = 1

LCM(2501,5000) = ( 2501 × 5000 ) / 1

LCM(2501,5000) = 12505000 / 1

LCM(2501,5000) = 12505000


Lets's calculate GCF of 700,931

7 700, 931
100, 133

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12505000/7

Therefore the LCM of Fractions 2501/700,5000/931 is 12505000/7

Greatest Common Factor of 700,931 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,931 By Matching Biggest Common Factor Method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Greatest Common Factor

We found the factors 700,931 . The biggest common factor number is the GCF number.
So the greatest common factor 700,931 is 7.


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 2501/700, 5000/931

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 2501/700, 5000/931?

Answer: LCM of Numerators as per given numbers 2501/700, 5000/931 is

LCM of Numerators i.e. for 2501,5000 is 12505000

GCF of denominators i.e. for 700,931 is 7.

Thus, LCM of Fractions is 12505000/7.Finally, LCM of Fractions for 2501/700, 5000/931 is 12505000/7.