Least Common Multiple of 70/363, 71/495, 770/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/363, 71/495, 770/370 quickly i.e. 54670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/363, 71/495, 770/370 is 54670.

LCM(70/363, 71/495, 770/370) = 54670

LCM of 70/363, 71/495, 770/370

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 70/363,71/495,770/370

Given numbers are 70/363,71/495,770/370

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 70,71,770

Least Common Multiple of Numerators i.e. LCM of 70,71,770 is 54670.

GCF of Denominators means GCF of 363,495,370 as per the given fractions.

GCF of 363,495,370 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,71,770

LCM of Fractions 70/363,71/495,770/370 is 54670

2 70, 71, 770
5 35, 71, 385
7 7, 71, 77
1, 71, 11

∴ So the LCM of the given numbers is 2 x 5 x 7 x 1 x 71 x 11 = 54670

Least Common Multiple of 70,71,770 with GCF Formula

Least Common Multiple of 70,71,770 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 70,71,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,71,770) = 1

common factors(in case of two or more numbers have common factors) = 70

GCF(70,71,770) x common factors =1 x 70 = 70

LCM(70,71,770) = ( 70 × 71 × 770 ) / 70

LCM(70,71,770) = 3826900 / 70

LCM(70,71,770) = 54670


Lets's calculate GCF of 363,495,370

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54670/1

Therefore the LCM of Fractions 70/363,71/495,770/370 is 54670

Greatest Common Factor of 363,495,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 363,495,370 By Matching Biggest Common Factor Method

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 363,495,370 . The biggest common factor number is the GCF number.
So the greatest common factor 363,495,370 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 70/363, 71/495, 770/370

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 70/363, 71/495, 770/370?

Answer: LCM of Numerators as per given numbers 70/363, 71/495, 770/370 is

LCM of Numerators i.e. for 70,71,770 is 54670

GCF of denominators i.e. for 363,495,370 is 1.

Thus, LCM of Fractions is 54670.Finally, LCM of Fractions for 70/363, 71/495, 770/370 is 54670.