Least Common Multiple of 258/840, 2934/4550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 258/840, 2934/4550 quickly i.e. 126162/70 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 258/840, 2934/4550 is 126162/70.

LCM(258/840, 2934/4550) = 126162/70

LCM of 258/840, 2934/4550

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 258/840,2934/4550

Given numbers are 258/840,2934/4550

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 258,2934

Least Common Multiple of Numerators i.e. LCM of 258,2934 is 126162.

GCF of Denominators means GCF of 840,4550 as per the given fractions.

GCF of 840,4550 is 70 as it is the largest common factor for these numbers.

Lets's calculate LCM of 258,2934

LCM of Fractions 258/840,2934/4550 is 126162/70

2 258, 2934
3 129, 1467
43, 489

∴ So the LCM of the given numbers is 2 x 3 x 43 x 489 = 126162

Least Common Multiple of 258,2934 with GCF Formula

Least Common Multiple of 258,2934 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 258,2934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,2934) = 6

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

GCF(258,2934) x common factors =6 x 1 = 6

LCM(258,2934) = ( 258 × 2934 ) / 6

LCM(258,2934) = 756972 / 6

LCM(258,2934) = 126162


Lets's calculate GCF of 840,4550

2 840, 4550
5 420, 2275
7 84, 455
12, 65

∴ So the GCF of the given numbers is 2 x 5 x 7 = 70

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126162/70

Therefore the LCM of Fractions 258/840,2934/4550 is 126162/70

Greatest Common Factor of 840,4550 By Matching Biggest Common Factor Method

Greatest Common Factor of 840,4550 By Matching Biggest Common Factor Method

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 4550

List of positive integer factors of 4550 that divides 4550 without a remainder.

1,2,5,7,10,13,14,25,26,35,50,65,70,91,130,175,182,325,350,455,650,910,2275,4550

Greatest Common Factor

We found the factors 840,4550 . The biggest common factor number is the GCF number.
So the greatest common factor 840,4550 is 70.


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 258/840, 2934/4550

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 258/840, 2934/4550?

Answer: LCM of Numerators as per given numbers 258/840, 2934/4550 is

LCM of Numerators i.e. for 258,2934 is 126162

GCF of denominators i.e. for 840,4550 is 70.

Thus, LCM of Fractions is 126162/70.Finally, LCM of Fractions for 258/840, 2934/4550 is 126162/70.