Least Common Multiple of 70/378, 285/83, 682/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/378, 285/83, 682/334 quickly i.e. 1360590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/378, 285/83, 682/334 is 1360590.

LCM(70/378, 285/83, 682/334) = 1360590

LCM of 70/378, 285/83, 682/334

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 70/378,285/83,682/334

Given numbers are 70/378,285/83,682/334

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 70,285,682

Least Common Multiple of Numerators i.e. LCM of 70,285,682 is 1360590.

GCF of Denominators means GCF of 378,83,334 as per the given fractions.

GCF of 378,83,334 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,285,682

LCM of Fractions 70/378,285/83,682/334 is 1360590

2 70, 285, 682
5 35, 285, 341
7, 57, 341

∴ So the LCM of the given numbers is 2 x 5 x 7 x 57 x 341 = 1360590

Least Common Multiple of 70,285,682 with GCF Formula

Least Common Multiple of 70,285,682 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 70,285,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,285,682) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(70,285,682) x common factors =1 x 10 = 10

LCM(70,285,682) = ( 70 × 285 × 682 ) / 10

LCM(70,285,682) = 13605900 / 10

LCM(70,285,682) = 1360590


Lets's calculate GCF of 378,83,334

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1360590/1

Therefore the LCM of Fractions 70/378,285/83,682/334 is 1360590

Greatest Common Factor of 378,83,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,83,334 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 378,83,334 . The biggest common factor number is the GCF number.
So the greatest common factor 378,83,334 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 70/378, 285/83, 682/334

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 70/378, 285/83, 682/334?

Answer: LCM of Numerators as per given numbers 70/378, 285/83, 682/334 is

LCM of Numerators i.e. for 70,285,682 is 1360590

GCF of denominators i.e. for 378,83,334 is 1.

Thus, LCM of Fractions is 1360590.Finally, LCM of Fractions for 70/378, 285/83, 682/334 is 1360590.