Least Common Multiple of 695/92, 359/63, 415/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 695/92, 359/63, 415/986 quickly i.e. 20708915 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 695/92, 359/63, 415/986 is 20708915.

LCM(695/92, 359/63, 415/986) = 20708915

LCM of 695/92, 359/63, 415/986

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 695/92,359/63,415/986

Given numbers are 695/92,359/63,415/986

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 695,359,415

Least Common Multiple of Numerators i.e. LCM of 695,359,415 is 20708915.

GCF of Denominators means GCF of 92,63,986 as per the given fractions.

GCF of 92,63,986 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 695,359,415

LCM of Fractions 695/92,359/63,415/986 is 20708915

5 695, 359, 415
139, 359, 83

∴ So the LCM of the given numbers is 5 x 139 x 359 x 83 = 20708915

Least Common Multiple of 695,359,415 with GCF Formula

Least Common Multiple of 695,359,415 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 695,359,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,359,415) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(695,359,415) x common factors =1 x 5 = 5

LCM(695,359,415) = ( 695 × 359 × 415 ) / 5

LCM(695,359,415) = 103544575 / 5

LCM(695,359,415) = 20708915


Lets's calculate GCF of 92,63,986

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20708915/1

Therefore the LCM of Fractions 695/92,359/63,415/986 is 20708915

Greatest Common Factor of 92,63,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,63,986 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 92,63,986 . The biggest common factor number is the GCF number.
So the greatest common factor 92,63,986 is 1.


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 695/92, 359/63, 415/986

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 695/92, 359/63, 415/986?

Answer: LCM of Numerators as per given numbers 695/92, 359/63, 415/986 is

LCM of Numerators i.e. for 695,359,415 is 20708915

GCF of denominators i.e. for 92,63,986 is 1.

Thus, LCM of Fractions is 20708915.Finally, LCM of Fractions for 695/92, 359/63, 415/986 is 20708915.