Least Common Multiple of 70/462, 32/908, 672/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/462, 32/908, 672/432 quickly i.e. 1680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/462, 32/908, 672/432 is 1680.

LCM(70/462, 32/908, 672/432) = 1680

LCM of 70/462, 32/908, 672/432

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 70/462,32/908,672/432

Given numbers are 70/462,32/908,672/432

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 70,32,672

Least Common Multiple of Numerators i.e. LCM of 70,32,672 is 3360.

GCF of Denominators means GCF of 462,908,432 as per the given fractions.

GCF of 462,908,432 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,32,672

LCM of Fractions 70/462,32/908,672/432 is 1680

2 70, 32, 672
2 35, 16, 336
2 35, 8, 168
2 35, 4, 84
2 35, 2, 42
7 35, 1, 21
5, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 7 x 5 x 1 x 3 = 3360

Least Common Multiple of 70,32,672 with GCF Formula

Least Common Multiple of 70,32,672 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 70,32,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,32,672) = 2

common factors(in case of two or more numbers have common factors) = 224

GCF(70,32,672) x common factors =2 x 224 = 448

LCM(70,32,672) = ( 70 × 32 × 672 ) / 448

LCM(70,32,672) = 1505280 / 448

LCM(70,32,672) = 3360


Lets's calculate GCF of 462,908,432

2 462, 908, 432
231, 454, 216

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3360/2

Therefore the LCM of Fractions 70/462,32/908,672/432 is 1680

Greatest Common Factor of 462,908,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,908,432 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 462,908,432 . The biggest common factor number is the GCF number.
So the greatest common factor 462,908,432 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 70/462, 32/908, 672/432

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 70/462, 32/908, 672/432?

Answer: LCM of Numerators as per given numbers 70/462, 32/908, 672/432 is

LCM of Numerators i.e. for 70,32,672 is 3360

GCF of denominators i.e. for 462,908,432 is 2.

Thus, LCM of Fractions is 1680.Finally, LCM of Fractions for 70/462, 32/908, 672/432 is 1680.