Least Common Multiple of 665/210, 707/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 665/210, 707/115 quickly i.e. 13433 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 665/210, 707/115 is 13433.

LCM(665/210, 707/115) = 13433

LCM of 665/210, 707/115

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 665/210,707/115

Given numbers are 665/210,707/115

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 665,707

Least Common Multiple of Numerators i.e. LCM of 665,707 is 67165.

GCF of Denominators means GCF of 210,115 as per the given fractions.

GCF of 210,115 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 665,707

LCM of Fractions 665/210,707/115 is 13433

7 665, 707
95, 101

∴ So the LCM of the given numbers is 7 x 95 x 101 = 67165

Least Common Multiple of 665,707 with GCF Formula

Least Common Multiple of 665,707 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 665,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(665,707) = 7

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

GCF(665,707) x common factors =7 x 1 = 7

LCM(665,707) = ( 665 × 707 ) / 7

LCM(665,707) = 470155 / 7

LCM(665,707) = 67165


Lets's calculate GCF of 210,115

5 210, 115
42, 23

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67165/5

Therefore the LCM of Fractions 665/210,707/115 is 13433

Greatest Common Factor of 210,115 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,115 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Greatest Common Factor

We found the factors 210,115 . The biggest common factor number is the GCF number.
So the greatest common factor 210,115 is 5.


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 665/210, 707/115

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 665/210, 707/115?

Answer: LCM of Numerators as per given numbers 665/210, 707/115 is

LCM of Numerators i.e. for 665,707 is 67165

GCF of denominators i.e. for 210,115 is 5.

Thus, LCM of Fractions is 13433.Finally, LCM of Fractions for 665/210, 707/115 is 13433.