Least Common Multiple of 23/651, 54/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 23/651, 54/700 quickly i.e. 1242/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/651, 54/700 is 1242/7.

LCM(23/651, 54/700) = 1242/7

LCM of 23/651, 54/700

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 23/651,54/700

Given numbers are 23/651,54/700

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 23,54

Least Common Multiple of Numerators i.e. LCM of 23,54 is 1242.

GCF of Denominators means GCF of 651,700 as per the given fractions.

GCF of 651,700 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,54

LCM of Fractions 23/651,54/700 is 1242/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 1242

Least Common Multiple of 23,54 with GCF Formula

Least Common Multiple of 23,54 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 23,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,54) = 1

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

GCF(23,54) x common factors =1 x 1 = 1

LCM(23,54) = ( 23 × 54 ) / 1

LCM(23,54) = 1242 / 1

LCM(23,54) = 1242


Lets's calculate GCF of 651,700

7 651, 700
93, 100

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1242/7

Therefore the LCM of Fractions 23/651,54/700 is 1242/7

Greatest Common Factor of 651,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 651,700 By Matching Biggest Common Factor Method

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

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

Greatest Common Factor

We found the factors 651,700 . The biggest common factor number is the GCF number.
So the greatest common factor 651,700 is 7.


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 23/651, 54/700

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 23/651, 54/700?

Answer: LCM of Numerators as per given numbers 23/651, 54/700 is

LCM of Numerators i.e. for 23,54 is 1242

GCF of denominators i.e. for 651,700 is 7.

Thus, LCM of Fractions is 1242/7.Finally, LCM of Fractions for 23/651, 54/700 is 1242/7.