Least Common Multiple of 30/700, 61/874, 489/818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/700, 61/874, 489/818 quickly i.e. 149145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/700, 61/874, 489/818 is 149145.

LCM(30/700, 61/874, 489/818) = 149145

LCM of 30/700, 61/874, 489/818

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 30/700,61/874,489/818

Given numbers are 30/700,61/874,489/818

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 30,61,489

Least Common Multiple of Numerators i.e. LCM of 30,61,489 is 298290.

GCF of Denominators means GCF of 700,874,818 as per the given fractions.

GCF of 700,874,818 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,61,489

LCM of Fractions 30/700,61/874,489/818 is 149145

3 30, 61, 489
10, 61, 163

∴ So the LCM of the given numbers is 3 x 10 x 61 x 163 = 298290

Least Common Multiple of 30,61,489 with GCF Formula

Least Common Multiple of 30,61,489 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 30,61,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,61,489) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(30,61,489) x common factors =1 x 3 = 3

LCM(30,61,489) = ( 30 × 61 × 489 ) / 3

LCM(30,61,489) = 894870 / 3

LCM(30,61,489) = 298290


Lets's calculate GCF of 700,874,818

2 700, 874, 818
350, 437, 409

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 298290/2

Therefore the LCM of Fractions 30/700,61/874,489/818 is 149145

Greatest Common Factor of 700,874,818 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,874,818 By Matching Biggest Common Factor Method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Greatest Common Factor

We found the factors 700,874,818 . The biggest common factor number is the GCF number.
So the greatest common factor 700,874,818 is 2.


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 30/700, 61/874, 489/818

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 30/700, 61/874, 489/818?

Answer: LCM of Numerators as per given numbers 30/700, 61/874, 489/818 is

LCM of Numerators i.e. for 30,61,489 is 298290

GCF of denominators i.e. for 700,874,818 is 2.

Thus, LCM of Fractions is 149145.Finally, LCM of Fractions for 30/700, 61/874, 489/818 is 149145.