Least Common Multiple of 468/60, 700/1320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 468/60, 700/1320 quickly i.e. 1365 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 468/60, 700/1320 is 1365.

LCM(468/60, 700/1320) = 1365

LCM of 468/60, 700/1320

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 468/60,700/1320

Given numbers are 468/60,700/1320

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 468,700

Least Common Multiple of Numerators i.e. LCM of 468,700 is 81900.

GCF of Denominators means GCF of 60,1320 as per the given fractions.

GCF of 60,1320 is 60 as it is the largest common factor for these numbers.

Lets's calculate LCM of 468,700

LCM of Fractions 468/60,700/1320 is 1365

2 468, 700
2 234, 350
117, 175

∴ So the LCM of the given numbers is 2 x 2 x 117 x 175 = 81900

Least Common Multiple of 468,700 with GCF Formula

Least Common Multiple of 468,700 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 468,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,700) = 4

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

GCF(468,700) x common factors =4 x 1 = 4

LCM(468,700) = ( 468 × 700 ) / 4

LCM(468,700) = 327600 / 4

LCM(468,700) = 81900


Lets's calculate GCF of 60,1320

2 60, 1320
2 30, 660
3 15, 330
5 5, 110
1, 22

∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 = 60

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81900/60

Therefore the LCM of Fractions 468/60,700/1320 is 1365

Greatest Common Factor of 60,1320 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,1320 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 1320

List of positive integer factors of 1320 that divides 1320 without a remainder.

1,2,3,4,5,6,8,10,11,12,15,20,22,24,30,33,40,44,55,60,66,88,110,120,132,165,220,264,330,440,660,1320

Greatest Common Factor

We found the factors 60,1320 . The biggest common factor number is the GCF number.
So the greatest common factor 60,1320 is 60.


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 468/60, 700/1320

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 468/60, 700/1320?

Answer: LCM of Numerators as per given numbers 468/60, 700/1320 is

LCM of Numerators i.e. for 468,700 is 81900

GCF of denominators i.e. for 60,1320 is 60.

Thus, LCM of Fractions is 1365.Finally, LCM of Fractions for 468/60, 700/1320 is 1365.