Least Common Multiple of 60/705, 70/995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/705, 70/995 quickly i.e. 84 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/705, 70/995 is 84.

LCM(60/705, 70/995) = 84

LCM of 60/705, 70/995

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 60/705,70/995

Given numbers are 60/705,70/995

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 60,70

Least Common Multiple of Numerators i.e. LCM of 60,70 is 420.

GCF of Denominators means GCF of 705,995 as per the given fractions.

GCF of 705,995 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,70

LCM of Fractions 60/705,70/995 is 84

2 60, 70
5 30, 35
6, 7

∴ So the LCM of the given numbers is 2 x 5 x 6 x 7 = 420

Least Common Multiple of 60,70 with GCF Formula

Least Common Multiple of 60,70 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 60,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,70) = 10

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

GCF(60,70) x common factors =10 x 1 = 10

LCM(60,70) = ( 60 × 70 ) / 10

LCM(60,70) = 4200 / 10

LCM(60,70) = 420


Lets's calculate GCF of 705,995

5 705, 995
141, 199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 420/5

Therefore the LCM of Fractions 60/705,70/995 is 84

Greatest Common Factor of 705,995 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,995 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 995

List of positive integer factors of 995 that divides 995 without a remainder.

1,5,199,995

Greatest Common Factor

We found the factors 705,995 . The biggest common factor number is the GCF number.
So the greatest common factor 705,995 is 5.


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 60/705, 70/995

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 60/705, 70/995?

Answer: LCM of Numerators as per given numbers 60/705, 70/995 is

LCM of Numerators i.e. for 60,70 is 420

GCF of denominators i.e. for 705,995 is 5.

Thus, LCM of Fractions is 84.Finally, LCM of Fractions for 60/705, 70/995 is 84.