Least Common Multiple of 40/953, 77/154, 880/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/953, 77/154, 880/292 quickly i.e. 6160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/953, 77/154, 880/292 is 6160.

LCM(40/953, 77/154, 880/292) = 6160

LCM of 40/953, 77/154, 880/292

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 40/953,77/154,880/292

Given numbers are 40/953,77/154,880/292

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 40,77,880

Least Common Multiple of Numerators i.e. LCM of 40,77,880 is 6160.

GCF of Denominators means GCF of 953,154,292 as per the given fractions.

GCF of 953,154,292 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,77,880

LCM of Fractions 40/953,77/154,880/292 is 6160

2 40, 77, 880
2 20, 77, 440
2 10, 77, 220
5 5, 77, 110
11 1, 77, 22
1, 7, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 11 x 1 x 7 x 2 = 6160

Least Common Multiple of 40,77,880 with GCF Formula

Least Common Multiple of 40,77,880 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 40,77,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,77,880) = 1

common factors(in case of two or more numbers have common factors) = 440

GCF(40,77,880) x common factors =1 x 440 = 440

LCM(40,77,880) = ( 40 × 77 × 880 ) / 440

LCM(40,77,880) = 2710400 / 440

LCM(40,77,880) = 6160


Lets's calculate GCF of 953,154,292

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6160/1

Therefore the LCM of Fractions 40/953,77/154,880/292 is 6160

Greatest Common Factor of 953,154,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 953,154,292 By Matching Biggest Common Factor Method

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 953,154,292 . The biggest common factor number is the GCF number.
So the greatest common factor 953,154,292 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 40/953, 77/154, 880/292

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 40/953, 77/154, 880/292?

Answer: LCM of Numerators as per given numbers 40/953, 77/154, 880/292 is

LCM of Numerators i.e. for 40,77,880 is 6160

GCF of denominators i.e. for 953,154,292 is 1.

Thus, LCM of Fractions is 6160.Finally, LCM of Fractions for 40/953, 77/154, 880/292 is 6160.