Least Common Multiple of 6429/149, 9170/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6429/149, 9170/630 quickly i.e. 58953930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6429/149, 9170/630 is 58953930.

LCM(6429/149, 9170/630) = 58953930

LCM of 6429/149, 9170/630

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 6429/149,9170/630

Given numbers are 6429/149,9170/630

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 6429,9170

Least Common Multiple of Numerators i.e. LCM of 6429,9170 is 58953930.

GCF of Denominators means GCF of 149,630 as per the given fractions.

GCF of 149,630 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6429,9170

LCM of Fractions 6429/149,9170/630 is 58953930

Given numbers has no common factors except 1. So, there LCM is their product i.e 58953930

Least Common Multiple of 6429,9170 with GCF Formula

Least Common Multiple of 6429,9170 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 6429,9170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6429,9170) = 1

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

GCF(6429,9170) x common factors =1 x 1 = 1

LCM(6429,9170) = ( 6429 × 9170 ) / 1

LCM(6429,9170) = 58953930 / 1

LCM(6429,9170) = 58953930


Lets's calculate GCF of 149,630

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58953930/1

Therefore the LCM of Fractions 6429/149,9170/630 is 58953930

Greatest Common Factor of 149,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 149,630 By Matching Biggest Common Factor Method

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

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

Greatest Common Factor

We found the factors 149,630 . The biggest common factor number is the GCF number.
So the greatest common factor 149,630 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 6429/149, 9170/630

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 6429/149, 9170/630?

Answer: LCM of Numerators as per given numbers 6429/149, 9170/630 is

LCM of Numerators i.e. for 6429,9170 is 58953930

GCF of denominators i.e. for 149,630 is 1.

Thus, LCM of Fractions is 58953930.Finally, LCM of Fractions for 6429/149, 9170/630 is 58953930.