Least Common Multiple of 649/85, 527/26, 920/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 649/85, 527/26, 920/312 quickly i.e. 314661160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 649/85, 527/26, 920/312 is 314661160.

LCM(649/85, 527/26, 920/312) = 314661160

LCM of 649/85, 527/26, 920/312

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 649/85,527/26,920/312

Given numbers are 649/85,527/26,920/312

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 649,527,920

Least Common Multiple of Numerators i.e. LCM of 649,527,920 is 314661160.

GCF of Denominators means GCF of 85,26,312 as per the given fractions.

GCF of 85,26,312 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 649,527,920

LCM of Fractions 649/85,527/26,920/312 is 314661160

Given numbers has no common factors except 1. So, there LCM is their product i.e 314661160

Least Common Multiple of 649,527,920 with GCF Formula

Least Common Multiple of 649,527,920 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 649,527,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,527,920) = 1

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

GCF(649,527,920) x common factors =1 x 1 = 1

LCM(649,527,920) = ( 649 × 527 × 920 ) / 1

LCM(649,527,920) = 314661160 / 1

LCM(649,527,920) = 314661160


Lets's calculate GCF of 85,26,312

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 314661160/1

Therefore the LCM of Fractions 649/85,527/26,920/312 is 314661160

Greatest Common Factor of 85,26,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,26,312 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 85,26,312 . The biggest common factor number is the GCF number.
So the greatest common factor 85,26,312 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 649/85, 527/26, 920/312

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 649/85, 527/26, 920/312?

Answer: LCM of Numerators as per given numbers 649/85, 527/26, 920/312 is

LCM of Numerators i.e. for 649,527,920 is 314661160

GCF of denominators i.e. for 85,26,312 is 1.

Thus, LCM of Fractions is 314661160.Finally, LCM of Fractions for 649/85, 527/26, 920/312 is 314661160.