Least Common Multiple of 701/852, 307/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 701/852, 307/360 quickly i.e. 215207/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 701/852, 307/360 is 215207/12.

LCM(701/852, 307/360) = 215207/12

LCM of 701/852, 307/360

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 701/852,307/360

Given numbers are 701/852,307/360

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 701,307

Least Common Multiple of Numerators i.e. LCM of 701,307 is 215207.

GCF of Denominators means GCF of 852,360 as per the given fractions.

GCF of 852,360 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 701,307

LCM of Fractions 701/852,307/360 is 215207/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 215207

Least Common Multiple of 701,307 with GCF Formula

Least Common Multiple of 701,307 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 701,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(701,307) = 1

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

GCF(701,307) x common factors =1 x 1 = 1

LCM(701,307) = ( 701 × 307 ) / 1

LCM(701,307) = 215207 / 1

LCM(701,307) = 215207


Lets's calculate GCF of 852,360

2 852, 360
2 426, 180
3 213, 90
71, 30

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 215207/12

Therefore the LCM of Fractions 701/852,307/360 is 215207/12

Greatest Common Factor of 852,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,360 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 852,360 . The biggest common factor number is the GCF number.
So the greatest common factor 852,360 is 12.


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 701/852, 307/360

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 701/852, 307/360?

Answer: LCM of Numerators as per given numbers 701/852, 307/360 is

LCM of Numerators i.e. for 701,307 is 215207

GCF of denominators i.e. for 852,360 is 12.

Thus, LCM of Fractions is 215207/12.Finally, LCM of Fractions for 701/852, 307/360 is 215207/12.