Least Common Multiple of 351/995, 229/630, 909/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 351/995, 229/630, 909/156 quickly i.e. 8118279 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 351/995, 229/630, 909/156 is 8118279.

LCM(351/995, 229/630, 909/156) = 8118279

LCM of 351/995, 229/630, 909/156

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 351/995,229/630,909/156

Given numbers are 351/995,229/630,909/156

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 351,229,909

Least Common Multiple of Numerators i.e. LCM of 351,229,909 is 8118279.

GCF of Denominators means GCF of 995,630,156 as per the given fractions.

GCF of 995,630,156 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 351,229,909

LCM of Fractions 351/995,229/630,909/156 is 8118279

3 351, 229, 909
3 117, 229, 303
39, 229, 101

∴ So the LCM of the given numbers is 3 x 3 x 39 x 229 x 101 = 8118279

Least Common Multiple of 351,229,909 with GCF Formula

Least Common Multiple of 351,229,909 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 351,229,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(351,229,909) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(351,229,909) x common factors =1 x 9 = 9

LCM(351,229,909) = ( 351 × 229 × 909 ) / 9

LCM(351,229,909) = 73064511 / 9

LCM(351,229,909) = 8118279


Lets's calculate GCF of 995,630,156

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8118279/1

Therefore the LCM of Fractions 351/995,229/630,909/156 is 8118279

Greatest Common Factor of 995,630,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 995,630,156 By Matching Biggest Common Factor Method

Factors of 995

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

1,5,199,995

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 995,630,156 . The biggest common factor number is the GCF number.
So the greatest common factor 995,630,156 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 351/995, 229/630, 909/156

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 351/995, 229/630, 909/156?

Answer: LCM of Numerators as per given numbers 351/995, 229/630, 909/156 is

LCM of Numerators i.e. for 351,229,909 is 8118279

GCF of denominators i.e. for 995,630,156 is 1.

Thus, LCM of Fractions is 8118279.Finally, LCM of Fractions for 351/995, 229/630, 909/156 is 8118279.