Least Common Multiple of 278/42, 851/55, 685/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 278/42, 851/55, 685/210 quickly i.e. 162055930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 278/42, 851/55, 685/210 is 162055930.

LCM(278/42, 851/55, 685/210) = 162055930

LCM of 278/42, 851/55, 685/210

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 278/42,851/55,685/210

Given numbers are 278/42,851/55,685/210

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 278,851,685

Least Common Multiple of Numerators i.e. LCM of 278,851,685 is 162055930.

GCF of Denominators means GCF of 42,55,210 as per the given fractions.

GCF of 42,55,210 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 278,851,685

LCM of Fractions 278/42,851/55,685/210 is 162055930

Given numbers has no common factors except 1. So, there LCM is their product i.e 162055930

Least Common Multiple of 278,851,685 with GCF Formula

Least Common Multiple of 278,851,685 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 278,851,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,851,685) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(278,851,685) x common factors =1 x 1 = 1

LCM(278,851,685) = ( 278 × 851 × 685 ) / 1

LCM(278,851,685) = 162055930 / 1

LCM(278,851,685) = 162055930


Lets's calculate GCF of 42,55,210

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162055930/1

Therefore the LCM of Fractions 278/42,851/55,685/210 is 162055930

Greatest Common Factor of 42,55,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,55,210 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 42,55,210 . The biggest common factor number is the GCF number.
So the greatest common factor 42,55,210 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 278/42, 851/55, 685/210

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 278/42, 851/55, 685/210?

Answer: LCM of Numerators as per given numbers 278/42, 851/55, 685/210 is

LCM of Numerators i.e. for 278,851,685 is 162055930

GCF of denominators i.e. for 42,55,210 is 1.

Thus, LCM of Fractions is 162055930.Finally, LCM of Fractions for 278/42, 851/55, 685/210 is 162055930.