Least Common Multiple of 55/169, 278/957, 745/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/169, 278/957, 745/552 quickly i.e. 2278210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/169, 278/957, 745/552 is 2278210.

LCM(55/169, 278/957, 745/552) = 2278210

LCM of 55/169, 278/957, 745/552

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 55/169,278/957,745/552

Given numbers are 55/169,278/957,745/552

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 55,278,745

Least Common Multiple of Numerators i.e. LCM of 55,278,745 is 2278210.

GCF of Denominators means GCF of 169,957,552 as per the given fractions.

GCF of 169,957,552 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,278,745

LCM of Fractions 55/169,278/957,745/552 is 2278210

5 55, 278, 745
11, 278, 149

∴ So the LCM of the given numbers is 5 x 11 x 278 x 149 = 2278210

Least Common Multiple of 55,278,745 with GCF Formula

Least Common Multiple of 55,278,745 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 55,278,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,278,745) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(55,278,745) x common factors =1 x 5 = 5

LCM(55,278,745) = ( 55 × 278 × 745 ) / 5

LCM(55,278,745) = 11391050 / 5

LCM(55,278,745) = 2278210


Lets's calculate GCF of 169,957,552

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2278210/1

Therefore the LCM of Fractions 55/169,278/957,745/552 is 2278210

Greatest Common Factor of 169,957,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 169,957,552 By Matching Biggest Common Factor Method

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 169,957,552 . The biggest common factor number is the GCF number.
So the greatest common factor 169,957,552 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 55/169, 278/957, 745/552

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 55/169, 278/957, 745/552?

Answer: LCM of Numerators as per given numbers 55/169, 278/957, 745/552 is

LCM of Numerators i.e. for 55,278,745 is 2278210

GCF of denominators i.e. for 169,957,552 is 1.

Thus, LCM of Fractions is 2278210.Finally, LCM of Fractions for 55/169, 278/957, 745/552 is 2278210.