Least Common Multiple of 402/695, 389/649, 902/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 402/695, 389/649, 902/840 quickly i.e. 70526478 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 402/695, 389/649, 902/840 is 70526478.

LCM(402/695, 389/649, 902/840) = 70526478

LCM of 402/695, 389/649, 902/840

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 402/695,389/649,902/840

Given numbers are 402/695,389/649,902/840

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 402,389,902

Least Common Multiple of Numerators i.e. LCM of 402,389,902 is 70526478.

GCF of Denominators means GCF of 695,649,840 as per the given fractions.

GCF of 695,649,840 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 402,389,902

LCM of Fractions 402/695,389/649,902/840 is 70526478

2 402, 389, 902
201, 389, 451

∴ So the LCM of the given numbers is 2 x 201 x 389 x 451 = 70526478

Least Common Multiple of 402,389,902 with GCF Formula

Least Common Multiple of 402,389,902 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 402,389,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,389,902) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(402,389,902) x common factors =1 x 2 = 2

LCM(402,389,902) = ( 402 × 389 × 902 ) / 2

LCM(402,389,902) = 141052956 / 2

LCM(402,389,902) = 70526478


Lets's calculate GCF of 695,649,840

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70526478/1

Therefore the LCM of Fractions 402/695,389/649,902/840 is 70526478

Greatest Common Factor of 695,649,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 695,649,840 By Matching Biggest Common Factor Method

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 695,649,840 . The biggest common factor number is the GCF number.
So the greatest common factor 695,649,840 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 402/695, 389/649, 902/840

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 402/695, 389/649, 902/840?

Answer: LCM of Numerators as per given numbers 402/695, 389/649, 902/840 is

LCM of Numerators i.e. for 402,389,902 is 70526478

GCF of denominators i.e. for 695,649,840 is 1.

Thus, LCM of Fractions is 70526478.Finally, LCM of Fractions for 402/695, 389/649, 902/840 is 70526478.