Least Common Multiple of 430/884, 852/692, 466/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 430/884, 852/692, 466/948 quickly i.e. 10670235 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 430/884, 852/692, 466/948 is 10670235.

LCM(430/884, 852/692, 466/948) = 10670235

LCM of 430/884, 852/692, 466/948

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 430/884,852/692,466/948

Given numbers are 430/884,852/692,466/948

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 430,852,466

Least Common Multiple of Numerators i.e. LCM of 430,852,466 is 42680940.

GCF of Denominators means GCF of 884,692,948 as per the given fractions.

GCF of 884,692,948 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 430,852,466

LCM of Fractions 430/884,852/692,466/948 is 10670235

2 430, 852, 466
215, 426, 233

∴ So the LCM of the given numbers is 2 x 215 x 426 x 233 = 42680940

Least Common Multiple of 430,852,466 with GCF Formula

Least Common Multiple of 430,852,466 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 430,852,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(430,852,466) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(430,852,466) x common factors =2 x 2 = 4

LCM(430,852,466) = ( 430 × 852 × 466 ) / 4

LCM(430,852,466) = 170723760 / 4

LCM(430,852,466) = 42680940


Lets's calculate GCF of 884,692,948

2 884, 692, 948
2 442, 346, 474
221, 173, 237

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42680940/4

Therefore the LCM of Fractions 430/884,852/692,466/948 is 10670235

Greatest Common Factor of 884,692,948 By Matching Biggest Common Factor Method

Greatest Common Factor of 884,692,948 By Matching Biggest Common Factor Method

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Greatest Common Factor

We found the factors 884,692,948 . The biggest common factor number is the GCF number.
So the greatest common factor 884,692,948 is 4.


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 430/884, 852/692, 466/948

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 430/884, 852/692, 466/948?

Answer: LCM of Numerators as per given numbers 430/884, 852/692, 466/948 is

LCM of Numerators i.e. for 430,852,466 is 42680940

GCF of denominators i.e. for 884,692,948 is 4.

Thus, LCM of Fractions is 10670235.Finally, LCM of Fractions for 430/884, 852/692, 466/948 is 10670235.