Least Common Multiple of 8382/858, 1690/4951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8382/858, 1690/4951 quickly i.e. 7082790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8382/858, 1690/4951 is 7082790.

LCM(8382/858, 1690/4951) = 7082790

LCM of 8382/858, 1690/4951

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 8382/858,1690/4951

Given numbers are 8382/858,1690/4951

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 8382,1690

Least Common Multiple of Numerators i.e. LCM of 8382,1690 is 7082790.

GCF of Denominators means GCF of 858,4951 as per the given fractions.

GCF of 858,4951 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8382,1690

LCM of Fractions 8382/858,1690/4951 is 7082790

2 8382, 1690
4191, 845

∴ So the LCM of the given numbers is 2 x 4191 x 845 = 7082790

Least Common Multiple of 8382,1690 with GCF Formula

Least Common Multiple of 8382,1690 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 8382,1690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8382,1690) = 2

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

GCF(8382,1690) x common factors =2 x 1 = 2

LCM(8382,1690) = ( 8382 × 1690 ) / 2

LCM(8382,1690) = 14165580 / 2

LCM(8382,1690) = 7082790


Lets's calculate GCF of 858,4951

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7082790/1

Therefore the LCM of Fractions 8382/858,1690/4951 is 7082790

Greatest Common Factor of 858,4951 By Matching Biggest Common Factor Method

Greatest Common Factor of 858,4951 By Matching Biggest Common Factor Method

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 4951

List of positive integer factors of 4951 that divides 4951 without a remainder.

1,4951

Greatest Common Factor

We found the factors 858,4951 . The biggest common factor number is the GCF number.
So the greatest common factor 858,4951 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8382/858, 1690/4951

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 8382/858, 1690/4951?

Answer: LCM of Numerators as per given numbers 8382/858, 1690/4951 is

LCM of Numerators i.e. for 8382,1690 is 7082790

GCF of denominators i.e. for 858,4951 is 1.

Thus, LCM of Fractions is 7082790.Finally, LCM of Fractions for 8382/858, 1690/4951 is 7082790.