Least Common Multiple of 630/95, 861/9480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 630/95, 861/9480 quickly i.e. 5166 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 630/95, 861/9480 is 5166.

LCM(630/95, 861/9480) = 5166

LCM of 630/95, 861/9480

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 630/95,861/9480

Given numbers are 630/95,861/9480

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 630,861

Least Common Multiple of Numerators i.e. LCM of 630,861 is 25830.

GCF of Denominators means GCF of 95,9480 as per the given fractions.

GCF of 95,9480 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 630,861

LCM of Fractions 630/95,861/9480 is 5166

3 630, 861
7 210, 287
30, 41

∴ So the LCM of the given numbers is 3 x 7 x 30 x 41 = 25830

Least Common Multiple of 630,861 with GCF Formula

Least Common Multiple of 630,861 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 630,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(630,861) = 21

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

GCF(630,861) x common factors =21 x 1 = 21

LCM(630,861) = ( 630 × 861 ) / 21

LCM(630,861) = 542430 / 21

LCM(630,861) = 25830


Lets's calculate GCF of 95,9480

5 95, 9480
19, 1896

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25830/5

Therefore the LCM of Fractions 630/95,861/9480 is 5166

Greatest Common Factor of 95,9480 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,9480 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 9480

List of positive integer factors of 9480 that divides 9480 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,79,120,158,237,316,395,474,632,790,948,1185,1580,1896,2370,3160,4740,9480

Greatest Common Factor

We found the factors 95,9480 . The biggest common factor number is the GCF number.
So the greatest common factor 95,9480 is 5.


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 630/95, 861/9480

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 630/95, 861/9480?

Answer: LCM of Numerators as per given numbers 630/95, 861/9480 is

LCM of Numerators i.e. for 630,861 is 25830

GCF of denominators i.e. for 95,9480 is 5.

Thus, LCM of Fractions is 5166.Finally, LCM of Fractions for 630/95, 861/9480 is 5166.