Least Common Multiple of 36/514, 311/607, 895/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/514, 311/607, 895/685 quickly i.e. 10020420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/514, 311/607, 895/685 is 10020420.

LCM(36/514, 311/607, 895/685) = 10020420

LCM of 36/514, 311/607, 895/685

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 36/514,311/607,895/685

Given numbers are 36/514,311/607,895/685

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 36,311,895

Least Common Multiple of Numerators i.e. LCM of 36,311,895 is 10020420.

GCF of Denominators means GCF of 514,607,685 as per the given fractions.

GCF of 514,607,685 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,311,895

LCM of Fractions 36/514,311/607,895/685 is 10020420

Given numbers has no common factors except 1. So, there LCM is their product i.e 10020420

Least Common Multiple of 36,311,895 with GCF Formula

Least Common Multiple of 36,311,895 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 36,311,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,311,895) = 1

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

GCF(36,311,895) x common factors =1 x 1 = 1

LCM(36,311,895) = ( 36 × 311 × 895 ) / 1

LCM(36,311,895) = 10020420 / 1

LCM(36,311,895) = 10020420


Lets's calculate GCF of 514,607,685

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10020420/1

Therefore the LCM of Fractions 36/514,311/607,895/685 is 10020420

Greatest Common Factor of 514,607,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 514,607,685 By Matching Biggest Common Factor Method

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 514,607,685 . The biggest common factor number is the GCF number.
So the greatest common factor 514,607,685 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 36/514, 311/607, 895/685

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 36/514, 311/607, 895/685?

Answer: LCM of Numerators as per given numbers 36/514, 311/607, 895/685 is

LCM of Numerators i.e. for 36,311,895 is 10020420

GCF of denominators i.e. for 514,607,685 is 1.

Thus, LCM of Fractions is 10020420.Finally, LCM of Fractions for 36/514, 311/607, 895/685 is 10020420.