Least Common Multiple of 85/402, 900/226, 957/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/402, 900/226, 957/794 quickly i.e. 2440350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/402, 900/226, 957/794 is 2440350.

LCM(85/402, 900/226, 957/794) = 2440350

LCM of 85/402, 900/226, 957/794

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 85/402,900/226,957/794

Given numbers are 85/402,900/226,957/794

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 85,900,957

Least Common Multiple of Numerators i.e. LCM of 85,900,957 is 4880700.

GCF of Denominators means GCF of 402,226,794 as per the given fractions.

GCF of 402,226,794 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,900,957

LCM of Fractions 85/402,900/226,957/794 is 2440350

3 85, 900, 957
5 85, 300, 319
17, 60, 319

∴ So the LCM of the given numbers is 3 x 5 x 17 x 60 x 319 = 4880700

Least Common Multiple of 85,900,957 with GCF Formula

Least Common Multiple of 85,900,957 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 85,900,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,900,957) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(85,900,957) x common factors =1 x 15 = 15

LCM(85,900,957) = ( 85 × 900 × 957 ) / 15

LCM(85,900,957) = 73210500 / 15

LCM(85,900,957) = 4880700


Lets's calculate GCF of 402,226,794

2 402, 226, 794
201, 113, 397

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4880700/2

Therefore the LCM of Fractions 85/402,900/226,957/794 is 2440350

Greatest Common Factor of 402,226,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 402,226,794 By Matching Biggest Common Factor Method

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors 402,226,794 . The biggest common factor number is the GCF number.
So the greatest common factor 402,226,794 is 2.


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 85/402, 900/226, 957/794

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 85/402, 900/226, 957/794?

Answer: LCM of Numerators as per given numbers 85/402, 900/226, 957/794 is

LCM of Numerators i.e. for 85,900,957 is 4880700

GCF of denominators i.e. for 402,226,794 is 2.

Thus, LCM of Fractions is 2440350.Finally, LCM of Fractions for 85/402, 900/226, 957/794 is 2440350.