Least Common Multiple of 420/99, 889/34, 345/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 420/99, 889/34, 345/952 quickly i.e. 1226820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 420/99, 889/34, 345/952 is 1226820.

LCM(420/99, 889/34, 345/952) = 1226820

LCM of 420/99, 889/34, 345/952

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 420/99,889/34,345/952

Given numbers are 420/99,889/34,345/952

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 420,889,345

Least Common Multiple of Numerators i.e. LCM of 420,889,345 is 1226820.

GCF of Denominators means GCF of 99,34,952 as per the given fractions.

GCF of 99,34,952 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 420,889,345

LCM of Fractions 420/99,889/34,345/952 is 1226820

3 420, 889, 345
5 140, 889, 115
7 28, 889, 23
4, 127, 23

∴ So the LCM of the given numbers is 3 x 5 x 7 x 4 x 127 x 23 = 1226820

Least Common Multiple of 420,889,345 with GCF Formula

Least Common Multiple of 420,889,345 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 420,889,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,889,345) = 1

common factors(in case of two or more numbers have common factors) = 105

GCF(420,889,345) x common factors =1 x 105 = 105

LCM(420,889,345) = ( 420 × 889 × 345 ) / 105

LCM(420,889,345) = 128816100 / 105

LCM(420,889,345) = 1226820


Lets's calculate GCF of 99,34,952

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1226820/1

Therefore the LCM of Fractions 420/99,889/34,345/952 is 1226820

Greatest Common Factor of 99,34,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,34,952 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Greatest Common Factor

We found the factors 99,34,952 . The biggest common factor number is the GCF number.
So the greatest common factor 99,34,952 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 420/99, 889/34, 345/952

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 420/99, 889/34, 345/952?

Answer: LCM of Numerators as per given numbers 420/99, 889/34, 345/952 is

LCM of Numerators i.e. for 420,889,345 is 1226820

GCF of denominators i.e. for 99,34,952 is 1.

Thus, LCM of Fractions is 1226820.Finally, LCM of Fractions for 420/99, 889/34, 345/952 is 1226820.