Least Common Multiple of 154/42, 315/1170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 154/42, 315/1170 quickly i.e. 1155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 154/42, 315/1170 is 1155.

LCM(154/42, 315/1170) = 1155

LCM of 154/42, 315/1170

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 154/42,315/1170

Given numbers are 154/42,315/1170

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 154,315

Least Common Multiple of Numerators i.e. LCM of 154,315 is 6930.

GCF of Denominators means GCF of 42,1170 as per the given fractions.

GCF of 42,1170 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 154,315

LCM of Fractions 154/42,315/1170 is 1155

7 154, 315
22, 45

∴ So the LCM of the given numbers is 7 x 22 x 45 = 6930

Least Common Multiple of 154,315 with GCF Formula

Least Common Multiple of 154,315 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 154,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(154,315) = 7

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

GCF(154,315) x common factors =7 x 1 = 7

LCM(154,315) = ( 154 × 315 ) / 7

LCM(154,315) = 48510 / 7

LCM(154,315) = 6930


Lets's calculate GCF of 42,1170

2 42, 1170
3 21, 585
7, 195

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6930/6

Therefore the LCM of Fractions 154/42,315/1170 is 1155

Greatest Common Factor of 42,1170 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,1170 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 1170

List of positive integer factors of 1170 that divides 1170 without a remainder.

1,2,3,5,6,9,10,13,15,18,26,30,39,45,65,78,90,117,130,195,234,390,585,1170

Greatest Common Factor

We found the factors 42,1170 . The biggest common factor number is the GCF number.
So the greatest common factor 42,1170 is 6.


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 154/42, 315/1170

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 154/42, 315/1170?

Answer: LCM of Numerators as per given numbers 154/42, 315/1170 is

LCM of Numerators i.e. for 154,315 is 6930

GCF of denominators i.e. for 42,1170 is 6.

Thus, LCM of Fractions is 1155.Finally, LCM of Fractions for 154/42, 315/1170 is 1155.